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Finding the Fourth Proportional to 2,581.81, 3,562.96 and 1,462.73

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Solution

The fourth proportional to 2,581.81, 3,562.96 and 1,462.73 is: 2,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.81 : 3,562.96 = 1,462.73 : x
  2. Step 2: Convert to fraction form
    2,581.81/3,562.96 = 1,462.73/x
  3. Step 3: Cross multiply
    2,581.81x = 3,562.96 × 1,462.73
  4. Step 4: Simplify right side
    2,581.81x = 5,211,648.48
  5. Step 5: Solve for x
    x = 5,211,648.48/2,581.81
  6. Step 6: Final answer
    x = 2,018.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.