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Finding the Fourth Proportional to 2,266.12, 3,125.66 and 2,189.92

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Solution

The fourth proportional to 2,266.12, 3,125.66 and 2,189.92 is: 3,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.12 : 3,125.66 = 2,189.92 : x
  2. Step 2: Convert to fraction form
    2,266.12/3,125.66 = 2,189.92/x
  3. Step 3: Cross multiply
    2,266.12x = 3,125.66 × 2,189.92
  4. Step 4: Simplify right side
    2,266.12x = 6,844,934.80
  5. Step 5: Solve for x
    x = 6,844,934.80/2,266.12
  6. Step 6: Final answer
    x = 3,020.55

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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.