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Finding the Fourth Proportional to 3,158.70, 4,734 and 1,512.78

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Solution

The fourth proportional to 3,158.70, 4,734 and 1,512.78 is: 2,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.70 : 4,734 = 1,512.78 : x
  2. Step 2: Convert to fraction form
    3,158.70/4,734 = 1,512.78/x
  3. Step 3: Cross multiply
    3,158.70x = 4,734 × 1,512.78
  4. Step 4: Simplify right side
    3,158.70x = 7,161,500.52
  5. Step 5: Solve for x
    x = 7,161,500.52/3,158.70
  6. Step 6: Final answer
    x = 2,267.23

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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.