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Finding the Fourth Proportional to 2,158.24, 3,237.92 and 1,234.24

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Solution

The fourth proportional to 2,158.24, 3,237.92 and 1,234.24 is: 1,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.24 : 3,237.92 = 1,234.24 : x
  2. Step 2: Convert to fraction form
    2,158.24/3,237.92 = 1,234.24/x
  3. Step 3: Cross multiply
    2,158.24x = 3,237.92 × 1,234.24
  4. Step 4: Simplify right side
    2,158.24x = 3,996,370.38
  5. Step 5: Solve for x
    x = 3,996,370.38/2,158.24
  6. Step 6: Final answer
    x = 1,851.68

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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.