Home / 2,078.18-3,116.40-966.92

Finding the Fourth Proportional to 2,078.18, 3,116.40 and 966.92

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Solution

The fourth proportional to 2,078.18, 3,116.40 and 966.92 is: 1,449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.18 : 3,116.40 = 966.92 : x
  2. Step 2: Convert to fraction form
    2,078.18/3,116.40 = 966.92/x
  3. Step 3: Cross multiply
    2,078.18x = 3,116.40 × 966.92
  4. Step 4: Simplify right side
    2,078.18x = 3,013,309.49
  5. Step 5: Solve for x
    x = 3,013,309.49/2,078.18
  6. Step 6: Final answer
    x = 1,449.98

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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.