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Finding the Fourth Proportional to 2,876.28, 3,971.28 and 2,288.20

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Solution

The fourth proportional to 2,876.28, 3,971.28 and 2,288.20 is: 3,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.28 : 3,971.28 = 2,288.20 : x
  2. Step 2: Convert to fraction form
    2,876.28/3,971.28 = 2,288.20/x
  3. Step 3: Cross multiply
    2,876.28x = 3,971.28 × 2,288.20
  4. Step 4: Simplify right side
    2,876.28x = 9,087,082.90
  5. Step 5: Solve for x
    x = 9,087,082.90/2,876.28
  6. Step 6: Final answer
    x = 3,159.32

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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.