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Finding the Fourth Proportional to 2,029.66, 3,044.49 and 731.13

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Solution

The fourth proportional to 2,029.66, 3,044.49 and 731.13 is: 1,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.66 : 3,044.49 = 731.13 : x
  2. Step 2: Convert to fraction form
    2,029.66/3,044.49 = 731.13/x
  3. Step 3: Cross multiply
    2,029.66x = 3,044.49 × 731.13
  4. Step 4: Simplify right side
    2,029.66x = 2,225,917.97
  5. Step 5: Solve for x
    x = 2,225,917.97/2,029.66
  6. Step 6: Final answer
    x = 1,096.70

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.