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Finding the Fourth Proportional to 2,862.12, 3,948.41 and 1,867.04

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Solution

The fourth proportional to 2,862.12, 3,948.41 and 1,867.04 is: 2,575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.12 : 3,948.41 = 1,867.04 : x
  2. Step 2: Convert to fraction form
    2,862.12/3,948.41 = 1,867.04/x
  3. Step 3: Cross multiply
    2,862.12x = 3,948.41 × 1,867.04
  4. Step 4: Simplify right side
    2,862.12x = 7,371,839.41
  5. Step 5: Solve for x
    x = 7,371,839.41/2,862.12
  6. Step 6: Final answer
    x = 2,575.66

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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.