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Finding the Fourth Proportional to 2,863.41, 4,294.10 and 1,302.11

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Solution

The fourth proportional to 2,863.41, 4,294.10 and 1,302.11 is: 1,952.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.41 : 4,294.10 = 1,302.11 : x
  2. Step 2: Convert to fraction form
    2,863.41/4,294.10 = 1,302.11/x
  3. Step 3: Cross multiply
    2,863.41x = 4,294.10 × 1,302.11
  4. Step 4: Simplify right side
    2,863.41x = 5,591,362.57
  5. Step 5: Solve for x
    x = 5,591,362.57/2,863.41
  6. Step 6: Final answer
    x = 1,952.69

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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.