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Finding the Fourth Proportional to 2,500.22, 3,751.42 and 962.30

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Solution

The fourth proportional to 2,500.22, 3,751.42 and 962.30 is: 1,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.22 : 3,751.42 = 962.30 : x
  2. Step 2: Convert to fraction form
    2,500.22/3,751.42 = 962.30/x
  3. Step 3: Cross multiply
    2,500.22x = 3,751.42 × 962.30
  4. Step 4: Simplify right side
    2,500.22x = 3,609,991.47
  5. Step 5: Solve for x
    x = 3,609,991.47/2,500.22
  6. Step 6: Final answer
    x = 1,443.87

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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.