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Finding the Fourth Proportional to 2,221.47, 3,330.05 and 759.65

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Solution

The fourth proportional to 2,221.47, 3,330.05 and 759.65 is: 1,138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.47 : 3,330.05 = 759.65 : x
  2. Step 2: Convert to fraction form
    2,221.47/3,330.05 = 759.65/x
  3. Step 3: Cross multiply
    2,221.47x = 3,330.05 × 759.65
  4. Step 4: Simplify right side
    2,221.47x = 2,529,652.03
  5. Step 5: Solve for x
    x = 2,529,652.03/2,221.47
  6. Step 6: Final answer
    x = 1,138.73

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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.