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Finding the Fourth Proportional to 3,101.72, 4,654.65 and 1,154.12

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Solution

The fourth proportional to 3,101.72, 4,654.65 and 1,154.12 is: 1,731.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.72 : 4,654.65 = 1,154.12 : x
  2. Step 2: Convert to fraction form
    3,101.72/4,654.65 = 1,154.12/x
  3. Step 3: Cross multiply
    3,101.72x = 4,654.65 × 1,154.12
  4. Step 4: Simplify right side
    3,101.72x = 5,372,024.66
  5. Step 5: Solve for x
    x = 5,372,024.66/3,101.72
  6. Step 6: Final answer
    x = 1,731.95

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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.