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Finding the Fourth Proportional to 2,033.90, 2,806.84 and 1,149.80

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Solution

The fourth proportional to 2,033.90, 2,806.84 and 1,149.80 is: 1,586.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.90 : 2,806.84 = 1,149.80 : x
  2. Step 2: Convert to fraction form
    2,033.90/2,806.84 = 1,149.80/x
  3. Step 3: Cross multiply
    2,033.90x = 2,806.84 × 1,149.80
  4. Step 4: Simplify right side
    2,033.90x = 3,227,304.63
  5. Step 5: Solve for x
    x = 3,227,304.63/2,033.90
  6. Step 6: Final answer
    x = 1,586.76

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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.