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Finding the Fourth Proportional to 2,220.14, 3,330.21 and 759.31

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Solution

The fourth proportional to 2,220.14, 3,330.21 and 759.31 is: 1,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.14 : 3,330.21 = 759.31 : x
  2. Step 2: Convert to fraction form
    2,220.14/3,330.21 = 759.31/x
  3. Step 3: Cross multiply
    2,220.14x = 3,330.21 × 759.31
  4. Step 4: Simplify right side
    2,220.14x = 2,528,656.28
  5. Step 5: Solve for x
    x = 2,528,656.28/2,220.14
  6. Step 6: Final answer
    x = 1,138.96

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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.