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Finding the Fourth Proportional to 2,494.72, 3,743.04 and 1,033.68

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Solution

The fourth proportional to 2,494.72, 3,743.04 and 1,033.68 is: 1,550.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.72 : 3,743.04 = 1,033.68 : x
  2. Step 2: Convert to fraction form
    2,494.72/3,743.04 = 1,033.68/x
  3. Step 3: Cross multiply
    2,494.72x = 3,743.04 × 1,033.68
  4. Step 4: Simplify right side
    2,494.72x = 3,869,105.59
  5. Step 5: Solve for x
    x = 3,869,105.59/2,494.72
  6. Step 6: Final answer
    x = 1,550.92

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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.