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Finding the Fourth Proportional to 1,732.25, 2,585.74 and 1,513.55

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Solution

The fourth proportional to 1,732.25, 2,585.74 and 1,513.55 is: 2,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.25 : 2,585.74 = 1,513.55 : x
  2. Step 2: Convert to fraction form
    1,732.25/2,585.74 = 1,513.55/x
  3. Step 3: Cross multiply
    1,732.25x = 2,585.74 × 1,513.55
  4. Step 4: Simplify right side
    1,732.25x = 3,913,646.78
  5. Step 5: Solve for x
    x = 3,913,646.78/1,732.25
  6. Step 6: Final answer
    x = 2,259.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.