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Finding the Fourth Proportional to 2,528.92, 3,487.80 and 2,082.88

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Solution

The fourth proportional to 2,528.92, 3,487.80 and 2,082.88 is: 2,872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.92 : 3,487.80 = 2,082.88 : x
  2. Step 2: Convert to fraction form
    2,528.92/3,487.80 = 2,082.88/x
  3. Step 3: Cross multiply
    2,528.92x = 3,487.80 × 2,082.88
  4. Step 4: Simplify right side
    2,528.92x = 7,264,668.86
  5. Step 5: Solve for x
    x = 7,264,668.86/2,528.92
  6. Step 6: Final answer
    x = 2,872.64

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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.