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Finding the Fourth Proportional to 2,862.81, 4,286.92 and 1,398.13

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Solution

The fourth proportional to 2,862.81, 4,286.92 and 1,398.13 is: 2,093.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.81 : 4,286.92 = 1,398.13 : x
  2. Step 2: Convert to fraction form
    2,862.81/4,286.92 = 1,398.13/x
  3. Step 3: Cross multiply
    2,862.81x = 4,286.92 × 1,398.13
  4. Step 4: Simplify right side
    2,862.81x = 5,993,671.46
  5. Step 5: Solve for x
    x = 5,993,671.46/2,862.81
  6. Step 6: Final answer
    x = 2,093.63

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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.