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Finding the Fourth Proportional to 2,034.29, 2,806.84 and 1,149.97

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Solution

The fourth proportional to 2,034.29, 2,806.84 and 1,149.97 is: 1,586.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.29 : 2,806.84 = 1,149.97 : x
  2. Step 2: Convert to fraction form
    2,034.29/2,806.84 = 1,149.97/x
  3. Step 3: Cross multiply
    2,034.29x = 2,806.84 × 1,149.97
  4. Step 4: Simplify right side
    2,034.29x = 3,227,781.79
  5. Step 5: Solve for x
    x = 3,227,781.79/2,034.29
  6. Step 6: Final answer
    x = 1,586.69

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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.