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Finding the Fourth Proportional to 2,862.81, 3,952.46 and 2,198.34

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Solution

The fourth proportional to 2,862.81, 3,952.46 and 2,198.34 is: 3,035.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.81 : 3,952.46 = 2,198.34 : x
  2. Step 2: Convert to fraction form
    2,862.81/3,952.46 = 2,198.34/x
  3. Step 3: Cross multiply
    2,862.81x = 3,952.46 × 2,198.34
  4. Step 4: Simplify right side
    2,862.81x = 8,688,856.41
  5. Step 5: Solve for x
    x = 8,688,856.41/2,862.81
  6. Step 6: Final answer
    x = 3,035.08

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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.