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Finding the Fourth Proportional to 2,494.91, 3,742.23 and 763.54

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Solution

The fourth proportional to 2,494.91, 3,742.23 and 763.54 is: 1,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.91 : 3,742.23 = 763.54 : x
  2. Step 2: Convert to fraction form
    2,494.91/3,742.23 = 763.54/x
  3. Step 3: Cross multiply
    2,494.91x = 3,742.23 × 763.54
  4. Step 4: Simplify right side
    2,494.91x = 2,857,342.29
  5. Step 5: Solve for x
    x = 2,857,342.29/2,494.91
  6. Step 6: Final answer
    x = 1,145.27

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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.