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Finding the Fourth Proportional to 2,737.59, 4,102.44 and 1,177.16

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Solution

The fourth proportional to 2,737.59, 4,102.44 and 1,177.16 is: 1,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.59 : 4,102.44 = 1,177.16 : x
  2. Step 2: Convert to fraction form
    2,737.59/4,102.44 = 1,177.16/x
  3. Step 3: Cross multiply
    2,737.59x = 4,102.44 × 1,177.16
  4. Step 4: Simplify right side
    2,737.59x = 4,829,207.76
  5. Step 5: Solve for x
    x = 4,829,207.76/2,737.59
  6. Step 6: Final answer
    x = 1,764.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.