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Finding the Fourth Proportional to 2,862.83, 4,287.90 and 2,199.83

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Solution

The fourth proportional to 2,862.83, 4,287.90 and 2,199.83 is: 3,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.83 : 4,287.90 = 2,199.83 : x
  2. Step 2: Convert to fraction form
    2,862.83/4,287.90 = 2,199.83/x
  3. Step 3: Cross multiply
    2,862.83x = 4,287.90 × 2,199.83
  4. Step 4: Simplify right side
    2,862.83x = 9,432,629.62
  5. Step 5: Solve for x
    x = 9,432,629.62/2,862.83
  6. Step 6: Final answer
    x = 3,294.86

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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.