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Finding the Fourth Proportional to 2,042.75, 3,064.13 and 1,393.13

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Solution

The fourth proportional to 2,042.75, 3,064.13 and 1,393.13 is: 2,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.75 : 3,064.13 = 1,393.13 : x
  2. Step 2: Convert to fraction form
    2,042.75/3,064.13 = 1,393.13/x
  3. Step 3: Cross multiply
    2,042.75x = 3,064.13 × 1,393.13
  4. Step 4: Simplify right side
    2,042.75x = 4,268,731.43
  5. Step 5: Solve for x
    x = 4,268,731.43/2,042.75
  6. Step 6: Final answer
    x = 2,089.70

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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.