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Finding the Fourth Proportional to 2,494.83, 3,742.25 and 763.23

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Solution

The fourth proportional to 2,494.83, 3,742.25 and 763.23 is: 1,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.83 : 3,742.25 = 763.23 : x
  2. Step 2: Convert to fraction form
    2,494.83/3,742.25 = 763.23/x
  3. Step 3: Cross multiply
    2,494.83x = 3,742.25 × 763.23
  4. Step 4: Simplify right side
    2,494.83x = 2,856,193.65
  5. Step 5: Solve for x
    x = 2,856,193.65/2,494.83
  6. Step 6: Final answer
    x = 1,144.85

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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.