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Finding the Fourth Proportional to 2,224.62, 3,331.74 and 1,126.32

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Solution

The fourth proportional to 2,224.62, 3,331.74 and 1,126.32 is: 1,686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.62 : 3,331.74 = 1,126.32 : x
  2. Step 2: Convert to fraction form
    2,224.62/3,331.74 = 1,126.32/x
  3. Step 3: Cross multiply
    2,224.62x = 3,331.74 × 1,126.32
  4. Step 4: Simplify right side
    2,224.62x = 3,752,605.40
  5. Step 5: Solve for x
    x = 3,752,605.40/2,224.62
  6. Step 6: Final answer
    x = 1,686.85

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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.