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Finding the Fourth Proportional to 3,442.98, 5,161.14 and 1,250.22

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Solution

The fourth proportional to 3,442.98, 5,161.14 and 1,250.22 is: 1,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.98 : 5,161.14 = 1,250.22 : x
  2. Step 2: Convert to fraction form
    3,442.98/5,161.14 = 1,250.22/x
  3. Step 3: Cross multiply
    3,442.98x = 5,161.14 × 1,250.22
  4. Step 4: Simplify right side
    3,442.98x = 6,452,560.45
  5. Step 5: Solve for x
    x = 6,452,560.45/3,442.98
  6. Step 6: Final answer
    x = 1,874.12

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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.