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Finding the Fourth Proportional to 1,729.90, 2,387.64 and 1,140.49

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Solution

The fourth proportional to 1,729.90, 2,387.64 and 1,140.49 is: 1,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.90 : 2,387.64 = 1,140.49 : x
  2. Step 2: Convert to fraction form
    1,729.90/2,387.64 = 1,140.49/x
  3. Step 3: Cross multiply
    1,729.90x = 2,387.64 × 1,140.49
  4. Step 4: Simplify right side
    1,729.90x = 2,723,079.54
  5. Step 5: Solve for x
    x = 2,723,079.54/1,729.90
  6. Step 6: Final answer
    x = 1,574.13

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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.