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Finding the Fourth Proportional to 2,523.92, 3,480.96 and 2,077.88

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Solution

The fourth proportional to 2,523.92, 3,480.96 and 2,077.88 is: 2,865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.92 : 3,480.96 = 2,077.88 : x
  2. Step 2: Convert to fraction form
    2,523.92/3,480.96 = 2,077.88/x
  3. Step 3: Cross multiply
    2,523.92x = 3,480.96 × 2,077.88
  4. Step 4: Simplify right side
    2,523.92x = 7,233,017.16
  5. Step 5: Solve for x
    x = 7,233,017.16/2,523.92
  6. Step 6: Final answer
    x = 2,865.79

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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.