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Finding the Fourth Proportional to 2,164.50, 3,246.75 and 703.76

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Solution

The fourth proportional to 2,164.50, 3,246.75 and 703.76 is: 1,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.50 : 3,246.75 = 703.76 : x
  2. Step 2: Convert to fraction form
    2,164.50/3,246.75 = 703.76/x
  3. Step 3: Cross multiply
    2,164.50x = 3,246.75 × 703.76
  4. Step 4: Simplify right side
    2,164.50x = 2,284,916.55
  5. Step 5: Solve for x
    x = 2,284,916.55/2,164.50
  6. Step 6: Final answer
    x = 1,055.63

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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.