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Finding the Fourth Proportional to 3,009.60, 4,512.84 and 1,061.52

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Solution

The fourth proportional to 3,009.60, 4,512.84 and 1,061.52 is: 1,591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.60 : 4,512.84 = 1,061.52 : x
  2. Step 2: Convert to fraction form
    3,009.60/4,512.84 = 1,061.52/x
  3. Step 3: Cross multiply
    3,009.60x = 4,512.84 × 1,061.52
  4. Step 4: Simplify right side
    3,009.60x = 4,790,469.92
  5. Step 5: Solve for x
    x = 4,790,469.92/3,009.60
  6. Step 6: Final answer
    x = 1,591.73

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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.