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Finding the Fourth Proportional to 2,711.32, 4,066.98 and 763.59

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Solution

The fourth proportional to 2,711.32, 4,066.98 and 763.59 is: 1,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.32 : 4,066.98 = 763.59 : x
  2. Step 2: Convert to fraction form
    2,711.32/4,066.98 = 763.59/x
  3. Step 3: Cross multiply
    2,711.32x = 4,066.98 × 763.59
  4. Step 4: Simplify right side
    2,711.32x = 3,105,505.26
  5. Step 5: Solve for x
    x = 3,105,505.26/2,711.32
  6. Step 6: Final answer
    x = 1,145.39

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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.