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Finding the Fourth Proportional to 3,134.29, 4,702.33 and 1,260.76

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Solution

The fourth proportional to 3,134.29, 4,702.33 and 1,260.76 is: 1,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.29 : 4,702.33 = 1,260.76 : x
  2. Step 2: Convert to fraction form
    3,134.29/4,702.33 = 1,260.76/x
  3. Step 3: Cross multiply
    3,134.29x = 4,702.33 × 1,260.76
  4. Step 4: Simplify right side
    3,134.29x = 5,928,509.57
  5. Step 5: Solve for x
    x = 5,928,509.57/3,134.29
  6. Step 6: Final answer
    x = 1,891.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.