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Finding the Fourth Proportional to 2,494.87, 3,742.31 and 1,260.59

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Solution

The fourth proportional to 2,494.87, 3,742.31 and 1,260.59 is: 1,890.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.87 : 3,742.31 = 1,260.59 : x
  2. Step 2: Convert to fraction form
    2,494.87/3,742.31 = 1,260.59/x
  3. Step 3: Cross multiply
    2,494.87x = 3,742.31 × 1,260.59
  4. Step 4: Simplify right side
    2,494.87x = 4,717,503.00
  5. Step 5: Solve for x
    x = 4,717,503.00/2,494.87
  6. Step 6: Final answer
    x = 1,890.88

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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.