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Finding the Fourth Proportional to 3,141.70, 4,710.84 and 1,265.92

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Solution

The fourth proportional to 3,141.70, 4,710.84 and 1,265.92 is: 1,898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.70 : 4,710.84 = 1,265.92 : x
  2. Step 2: Convert to fraction form
    3,141.70/4,710.84 = 1,265.92/x
  3. Step 3: Cross multiply
    3,141.70x = 4,710.84 × 1,265.92
  4. Step 4: Simplify right side
    3,141.70x = 5,963,546.57
  5. Step 5: Solve for x
    x = 5,963,546.57/3,141.70
  6. Step 6: Final answer
    x = 1,898.19

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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.