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Finding the Fourth Proportional to 2,494.53, 3,742.20 and 762.75

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Solution

The fourth proportional to 2,494.53, 3,742.20 and 762.75 is: 1,144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.53 : 3,742.20 = 762.75 : x
  2. Step 2: Convert to fraction form
    2,494.53/3,742.20 = 762.75/x
  3. Step 3: Cross multiply
    2,494.53x = 3,742.20 × 762.75
  4. Step 4: Simplify right side
    2,494.53x = 2,854,363.05
  5. Step 5: Solve for x
    x = 2,854,363.05/2,494.53
  6. Step 6: Final answer
    x = 1,144.25

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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.