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Finding the Fourth Proportional to 2,092.64, 2,881.68 and 2,047.20

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Solution

The fourth proportional to 2,092.64, 2,881.68 and 2,047.20 is: 2,819.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.64 : 2,881.68 = 2,047.20 : x
  2. Step 2: Convert to fraction form
    2,092.64/2,881.68 = 2,047.20/x
  3. Step 3: Cross multiply
    2,092.64x = 2,881.68 × 2,047.20
  4. Step 4: Simplify right side
    2,092.64x = 5,899,375.30
  5. Step 5: Solve for x
    x = 5,899,375.30/2,092.64
  6. Step 6: Final answer
    x = 2,819.11

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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.