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Finding the Fourth Proportional to 2,462.03, 3,693.09 and 818.59

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Solution

The fourth proportional to 2,462.03, 3,693.09 and 818.59 is: 1,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.03 : 3,693.09 = 818.59 : x
  2. Step 2: Convert to fraction form
    2,462.03/3,693.09 = 818.59/x
  3. Step 3: Cross multiply
    2,462.03x = 3,693.09 × 818.59
  4. Step 4: Simplify right side
    2,462.03x = 3,023,127.30
  5. Step 5: Solve for x
    x = 3,023,127.30/2,462.03
  6. Step 6: Final answer
    x = 1,227.90

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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.