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Finding the Fourth Proportional to 1,731.62, 2,387.80 and 1,414.51

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Solution

The fourth proportional to 1,731.62, 2,387.80 and 1,414.51 is: 1,950.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.62 : 2,387.80 = 1,414.51 : x
  2. Step 2: Convert to fraction form
    1,731.62/2,387.80 = 1,414.51/x
  3. Step 3: Cross multiply
    1,731.62x = 2,387.80 × 1,414.51
  4. Step 4: Simplify right side
    1,731.62x = 3,377,566.98
  5. Step 5: Solve for x
    x = 3,377,566.98/1,731.62
  6. Step 6: Final answer
    x = 1,950.52

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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.