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Finding the Fourth Proportional to 3,141.68, 4,711.60 and 1,267.56

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Solution

The fourth proportional to 3,141.68, 4,711.60 and 1,267.56 is: 1,900.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.68 : 4,711.60 = 1,267.56 : x
  2. Step 2: Convert to fraction form
    3,141.68/4,711.60 = 1,267.56/x
  3. Step 3: Cross multiply
    3,141.68x = 4,711.60 × 1,267.56
  4. Step 4: Simplify right side
    3,141.68x = 5,972,235.70
  5. Step 5: Solve for x
    x = 5,972,235.70/3,141.68
  6. Step 6: Final answer
    x = 1,900.97

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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.