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Finding the Fourth Proportional to 1,500.32, 2,251.12 and 806.18

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Solution

The fourth proportional to 1,500.32, 2,251.12 and 806.18 is: 1,209.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.32 : 2,251.12 = 806.18 : x
  2. Step 2: Convert to fraction form
    1,500.32/2,251.12 = 806.18/x
  3. Step 3: Cross multiply
    1,500.32x = 2,251.12 × 806.18
  4. Step 4: Simplify right side
    1,500.32x = 1,814,796.67
  5. Step 5: Solve for x
    x = 1,814,796.67/1,500.32
  6. Step 6: Final answer
    x = 1,209.61

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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.