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Finding the Fourth Proportional to 2,462.72, 3,693.57 and 818.83

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Solution

The fourth proportional to 2,462.72, 3,693.57 and 818.83 is: 1,228.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.72 : 3,693.57 = 818.83 : x
  2. Step 2: Convert to fraction form
    2,462.72/3,693.57 = 818.83/x
  3. Step 3: Cross multiply
    2,462.72x = 3,693.57 × 818.83
  4. Step 4: Simplify right side
    2,462.72x = 3,024,386.69
  5. Step 5: Solve for x
    x = 3,024,386.69/2,462.72
  6. Step 6: Final answer
    x = 1,228.07

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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.