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Finding the Fourth Proportional to 2,866.31, 3,956.82 and 2,086.28

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Solution

The fourth proportional to 2,866.31, 3,956.82 and 2,086.28 is: 2,880.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.31 : 3,956.82 = 2,086.28 : x
  2. Step 2: Convert to fraction form
    2,866.31/3,956.82 = 2,086.28/x
  3. Step 3: Cross multiply
    2,866.31x = 3,956.82 × 2,086.28
  4. Step 4: Simplify right side
    2,866.31x = 8,255,034.43
  5. Step 5: Solve for x
    x = 8,255,034.43/2,866.31
  6. Step 6: Final answer
    x = 2,880.02

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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.