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Finding the Fourth Proportional to 2,494.59, 3,741.89 and 763.22

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Solution

The fourth proportional to 2,494.59, 3,741.89 and 763.22 is: 1,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.59 : 3,741.89 = 763.22 : x
  2. Step 2: Convert to fraction form
    2,494.59/3,741.89 = 763.22/x
  3. Step 3: Cross multiply
    2,494.59x = 3,741.89 × 763.22
  4. Step 4: Simplify right side
    2,494.59x = 2,855,885.29
  5. Step 5: Solve for x
    x = 2,855,885.29/2,494.59
  6. Step 6: Final answer
    x = 1,144.83

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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.