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Finding the Fourth Proportional to 1,729.59, 2,387.16 and 1,066.29

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Solution

The fourth proportional to 1,729.59, 2,387.16 and 1,066.29 is: 1,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.59 : 2,387.16 = 1,066.29 : x
  2. Step 2: Convert to fraction form
    1,729.59/2,387.16 = 1,066.29/x
  3. Step 3: Cross multiply
    1,729.59x = 2,387.16 × 1,066.29
  4. Step 4: Simplify right side
    1,729.59x = 2,545,404.84
  5. Step 5: Solve for x
    x = 2,545,404.84/1,729.59
  6. Step 6: Final answer
    x = 1,471.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.