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Finding the Fourth Proportional to 2,254.32, 3,380.96 and 867.84

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Solution

The fourth proportional to 2,254.32, 3,380.96 and 867.84 is: 1,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.32 : 3,380.96 = 867.84 : x
  2. Step 2: Convert to fraction form
    2,254.32/3,380.96 = 867.84/x
  3. Step 3: Cross multiply
    2,254.32x = 3,380.96 × 867.84
  4. Step 4: Simplify right side
    2,254.32x = 2,934,132.33
  5. Step 5: Solve for x
    x = 2,934,132.33/2,254.32
  6. Step 6: Final answer
    x = 1,301.56

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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.