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Finding the Fourth Proportional to 3,117.72, 4,677.90 and 1,170.24

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Solution

The fourth proportional to 3,117.72, 4,677.90 and 1,170.24 is: 1,755.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.72 : 4,677.90 = 1,170.24 : x
  2. Step 2: Convert to fraction form
    3,117.72/4,677.90 = 1,170.24/x
  3. Step 3: Cross multiply
    3,117.72x = 4,677.90 × 1,170.24
  4. Step 4: Simplify right side
    3,117.72x = 5,474,265.70
  5. Step 5: Solve for x
    x = 5,474,265.70/3,117.72
  6. Step 6: Final answer
    x = 1,755.86

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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.