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Finding the Fourth Proportional to 1,737.83, 2,398.97 and 1,109.18

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Solution

The fourth proportional to 1,737.83, 2,398.97 and 1,109.18 is: 1,531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.83 : 2,398.97 = 1,109.18 : x
  2. Step 2: Convert to fraction form
    1,737.83/2,398.97 = 1,109.18/x
  3. Step 3: Cross multiply
    1,737.83x = 2,398.97 × 1,109.18
  4. Step 4: Simplify right side
    1,737.83x = 2,660,898.31
  5. Step 5: Solve for x
    x = 2,660,898.31/1,737.83
  6. Step 6: Final answer
    x = 1,531.17

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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.