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Finding the Fourth Proportional to 1,737.48, 2,398.88 and 1,407.36

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Solution

The fourth proportional to 1,737.48, 2,398.88 and 1,407.36 is: 1,943.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.48 : 2,398.88 = 1,407.36 : x
  2. Step 2: Convert to fraction form
    1,737.48/2,398.88 = 1,407.36/x
  3. Step 3: Cross multiply
    1,737.48x = 2,398.88 × 1,407.36
  4. Step 4: Simplify right side
    1,737.48x = 3,376,087.76
  5. Step 5: Solve for x
    x = 3,376,087.76/1,737.48
  6. Step 6: Final answer
    x = 1,943.09

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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.