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Finding the Fourth Proportional to 2,863.23, 3,947.48 and 2,065.89

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Solution

The fourth proportional to 2,863.23, 3,947.48 and 2,065.89 is: 2,848.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.23 : 3,947.48 = 2,065.89 : x
  2. Step 2: Convert to fraction form
    2,863.23/3,947.48 = 2,065.89/x
  3. Step 3: Cross multiply
    2,863.23x = 3,947.48 × 2,065.89
  4. Step 4: Simplify right side
    2,863.23x = 8,155,049.13
  5. Step 5: Solve for x
    x = 8,155,049.13/2,863.23
  6. Step 6: Final answer
    x = 2,848.20

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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.