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Finding the Fourth Proportional to 2,818.13, 4,227.12 and 1,174.64

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Solution

The fourth proportional to 2,818.13, 4,227.12 and 1,174.64 is: 1,761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.13 : 4,227.12 = 1,174.64 : x
  2. Step 2: Convert to fraction form
    2,818.13/4,227.12 = 1,174.64/x
  3. Step 3: Cross multiply
    2,818.13x = 4,227.12 × 1,174.64
  4. Step 4: Simplify right side
    2,818.13x = 4,965,323.10
  5. Step 5: Solve for x
    x = 4,965,323.10/2,818.13
  6. Step 6: Final answer
    x = 1,761.92

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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.