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Finding the Fourth Proportional to 2,865.49, 3,956.28 and 2,201.15

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Solution

The fourth proportional to 2,865.49, 3,956.28 and 2,201.15 is: 3,039.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.49 : 3,956.28 = 2,201.15 : x
  2. Step 2: Convert to fraction form
    2,865.49/3,956.28 = 2,201.15/x
  3. Step 3: Cross multiply
    2,865.49x = 3,956.28 × 2,201.15
  4. Step 4: Simplify right side
    2,865.49x = 8,708,365.72
  5. Step 5: Solve for x
    x = 8,708,365.72/2,865.49
  6. Step 6: Final answer
    x = 3,039.05

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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.