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Finding the Fourth Proportional to 2,033.92, 2,806.62 and 1,149.79

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Solution

The fourth proportional to 2,033.92, 2,806.62 and 1,149.79 is: 1,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.92 : 2,806.62 = 1,149.79 : x
  2. Step 2: Convert to fraction form
    2,033.92/2,806.62 = 1,149.79/x
  3. Step 3: Cross multiply
    2,033.92x = 2,806.62 × 1,149.79
  4. Step 4: Simplify right side
    2,033.92x = 3,227,023.61
  5. Step 5: Solve for x
    x = 3,227,023.61/2,033.92
  6. Step 6: Final answer
    x = 1,586.60

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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.