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Finding the Fourth Proportional to 2,565.20, 3,847.72 and 921.84

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Solution

The fourth proportional to 2,565.20, 3,847.72 and 921.84 is: 1,382.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.20 : 3,847.72 = 921.84 : x
  2. Step 2: Convert to fraction form
    2,565.20/3,847.72 = 921.84/x
  3. Step 3: Cross multiply
    2,565.20x = 3,847.72 × 921.84
  4. Step 4: Simplify right side
    2,565.20x = 3,546,982.20
  5. Step 5: Solve for x
    x = 3,546,982.20/2,565.20
  6. Step 6: Final answer
    x = 1,382.73

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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.