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Finding the Fourth Proportional to 3,102.88, 4,654.32 and 1,155.04

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Solution

The fourth proportional to 3,102.88, 4,654.32 and 1,155.04 is: 1,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.88 : 4,654.32 = 1,155.04 : x
  2. Step 2: Convert to fraction form
    3,102.88/4,654.32 = 1,155.04/x
  3. Step 3: Cross multiply
    3,102.88x = 4,654.32 × 1,155.04
  4. Step 4: Simplify right side
    3,102.88x = 5,375,925.77
  5. Step 5: Solve for x
    x = 5,375,925.77/3,102.88
  6. Step 6: Final answer
    x = 1,732.56

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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.