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Finding the Fourth Proportional to 2,863.44, 3,948.12 and 2,392.02

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Solution

The fourth proportional to 2,863.44, 3,948.12 and 2,392.02 is: 3,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.44 : 3,948.12 = 2,392.02 : x
  2. Step 2: Convert to fraction form
    2,863.44/3,948.12 = 2,392.02/x
  3. Step 3: Cross multiply
    2,863.44x = 3,948.12 × 2,392.02
  4. Step 4: Simplify right side
    2,863.44x = 9,443,982.00
  5. Step 5: Solve for x
    x = 9,443,982.00/2,863.44
  6. Step 6: Final answer
    x = 3,298.12

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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.