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Finding the Fourth Proportional to 2,720.80, 4,083.28 and 2,478.88

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Solution

The fourth proportional to 2,720.80, 4,083.28 and 2,478.88 is: 3,720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.80 : 4,083.28 = 2,478.88 : x
  2. Step 2: Convert to fraction form
    2,720.80/4,083.28 = 2,478.88/x
  3. Step 3: Cross multiply
    2,720.80x = 4,083.28 × 2,478.88
  4. Step 4: Simplify right side
    2,720.80x = 10,121,961.13
  5. Step 5: Solve for x
    x = 10,121,961.13/2,720.80
  6. Step 6: Final answer
    x = 3,720.22

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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.