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Finding the Fourth Proportional to 2,040.66, 3,062.07 and 1,162.62

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Solution

The fourth proportional to 2,040.66, 3,062.07 and 1,162.62 is: 1,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.66 : 3,062.07 = 1,162.62 : x
  2. Step 2: Convert to fraction form
    2,040.66/3,062.07 = 1,162.62/x
  3. Step 3: Cross multiply
    2,040.66x = 3,062.07 × 1,162.62
  4. Step 4: Simplify right side
    2,040.66x = 3,560,023.82
  5. Step 5: Solve for x
    x = 3,560,023.82/2,040.66
  6. Step 6: Final answer
    x = 1,744.55

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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.