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Finding the Fourth Proportional to 2,221.12, 3,331.41 and 760.15

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Solution

The fourth proportional to 2,221.12, 3,331.41 and 760.15 is: 1,140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.12 : 3,331.41 = 760.15 : x
  2. Step 2: Convert to fraction form
    2,221.12/3,331.41 = 760.15/x
  3. Step 3: Cross multiply
    2,221.12x = 3,331.41 × 760.15
  4. Step 4: Simplify right side
    2,221.12x = 2,532,371.31
  5. Step 5: Solve for x
    x = 2,532,371.31/2,221.12
  6. Step 6: Final answer
    x = 1,140.13

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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.