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Finding the Fourth Proportional to 3,380.88, 4,660.56 and 2,259.84

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Solution

The fourth proportional to 3,380.88, 4,660.56 and 2,259.84 is: 3,115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.88 : 4,660.56 = 2,259.84 : x
  2. Step 2: Convert to fraction form
    3,380.88/4,660.56 = 2,259.84/x
  3. Step 3: Cross multiply
    3,380.88x = 4,660.56 × 2,259.84
  4. Step 4: Simplify right side
    3,380.88x = 10,532,119.91
  5. Step 5: Solve for x
    x = 10,532,119.91/3,380.88
  6. Step 6: Final answer
    x = 3,115.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.