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Finding the Fourth Proportional to 1,729.81, 2,387.24 and 1,613.17

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Solution

The fourth proportional to 1,729.81, 2,387.24 and 1,613.17 is: 2,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.81 : 2,387.24 = 1,613.17 : x
  2. Step 2: Convert to fraction form
    1,729.81/2,387.24 = 1,613.17/x
  3. Step 3: Cross multiply
    1,729.81x = 2,387.24 × 1,613.17
  4. Step 4: Simplify right side
    1,729.81x = 3,851,023.95
  5. Step 5: Solve for x
    x = 3,851,023.95/1,729.81
  6. Step 6: Final answer
    x = 2,226.27

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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.