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Finding the Fourth Proportional to 1,447.32, 2,169.06 and 789.20

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Solution

The fourth proportional to 1,447.32, 2,169.06 and 789.20 is: 1,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.32 : 2,169.06 = 789.20 : x
  2. Step 2: Convert to fraction form
    1,447.32/2,169.06 = 789.20/x
  3. Step 3: Cross multiply
    1,447.32x = 2,169.06 × 789.20
  4. Step 4: Simplify right side
    1,447.32x = 1,711,822.15
  5. Step 5: Solve for x
    x = 1,711,822.15/1,447.32
  6. Step 6: Final answer
    x = 1,182.75

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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.