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Finding the Fourth Proportional to 2,713.97, 4,071.72 and 865.22

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Solution

The fourth proportional to 2,713.97, 4,071.72 and 865.22 is: 1,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.97 : 4,071.72 = 865.22 : x
  2. Step 2: Convert to fraction form
    2,713.97/4,071.72 = 865.22/x
  3. Step 3: Cross multiply
    2,713.97x = 4,071.72 × 865.22
  4. Step 4: Simplify right side
    2,713.97x = 3,522,933.58
  5. Step 5: Solve for x
    x = 3,522,933.58/2,713.97
  6. Step 6: Final answer
    x = 1,298.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.