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Finding the Fourth Proportional to 2,098.56, 3,147.86 and 865.12

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Solution

The fourth proportional to 2,098.56, 3,147.86 and 865.12 is: 1,297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.56 : 3,147.86 = 865.12 : x
  2. Step 2: Convert to fraction form
    2,098.56/3,147.86 = 865.12/x
  3. Step 3: Cross multiply
    2,098.56x = 3,147.86 × 865.12
  4. Step 4: Simplify right side
    2,098.56x = 2,723,276.64
  5. Step 5: Solve for x
    x = 2,723,276.64/2,098.56
  6. Step 6: Final answer
    x = 1,297.69

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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.