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Finding the Fourth Proportional to 2,163.92, 3,246.06 and 931.36

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Solution

The fourth proportional to 2,163.92, 3,246.06 and 931.36 is: 1,397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.92 : 3,246.06 = 931.36 : x
  2. Step 2: Convert to fraction form
    2,163.92/3,246.06 = 931.36/x
  3. Step 3: Cross multiply
    2,163.92x = 3,246.06 × 931.36
  4. Step 4: Simplify right side
    2,163.92x = 3,023,250.44
  5. Step 5: Solve for x
    x = 3,023,250.44/2,163.92
  6. Step 6: Final answer
    x = 1,397.12

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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.