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Finding the Fourth Proportional to 1,737.74, 2,398.50 and 1,179.14

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Solution

The fourth proportional to 1,737.74, 2,398.50 and 1,179.14 is: 1,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.74 : 2,398.50 = 1,179.14 : x
  2. Step 2: Convert to fraction form
    1,737.74/2,398.50 = 1,179.14/x
  3. Step 3: Cross multiply
    1,737.74x = 2,398.50 × 1,179.14
  4. Step 4: Simplify right side
    1,737.74x = 2,828,155.30
  5. Step 5: Solve for x
    x = 2,828,155.30/1,737.74
  6. Step 6: Final answer
    x = 1,627.50

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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.