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Finding the Fourth Proportional to 3,140.17, 4,704.18 and 1,677.31

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Solution

The fourth proportional to 3,140.17, 4,704.18 and 1,677.31 is: 2,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.17 : 4,704.18 = 1,677.31 : x
  2. Step 2: Convert to fraction form
    3,140.17/4,704.18 = 1,677.31/x
  3. Step 3: Cross multiply
    3,140.17x = 4,704.18 × 1,677.31
  4. Step 4: Simplify right side
    3,140.17x = 7,890,350.11
  5. Step 5: Solve for x
    x = 7,890,350.11/3,140.17
  6. Step 6: Final answer
    x = 2,512.72

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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.