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Finding the Fourth Proportional to 2,867.71, 4,298.80 and 1,568.27

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Solution

The fourth proportional to 2,867.71, 4,298.80 and 1,568.27 is: 2,350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.71 : 4,298.80 = 1,568.27 : x
  2. Step 2: Convert to fraction form
    2,867.71/4,298.80 = 1,568.27/x
  3. Step 3: Cross multiply
    2,867.71x = 4,298.80 × 1,568.27
  4. Step 4: Simplify right side
    2,867.71x = 6,741,679.08
  5. Step 5: Solve for x
    x = 6,741,679.08/2,867.71
  6. Step 6: Final answer
    x = 2,350.89

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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.