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Finding the Fourth Proportional to 2,115.23, 3,171.32 and 798.88

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Solution

The fourth proportional to 2,115.23, 3,171.32 and 798.88 is: 1,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.23 : 3,171.32 = 798.88 : x
  2. Step 2: Convert to fraction form
    2,115.23/3,171.32 = 798.88/x
  3. Step 3: Cross multiply
    2,115.23x = 3,171.32 × 798.88
  4. Step 4: Simplify right side
    2,115.23x = 2,533,501.14
  5. Step 5: Solve for x
    x = 2,533,501.14/2,115.23
  6. Step 6: Final answer
    x = 1,197.74

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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.