Home / 2,137.40-3,206.06-966.57

Finding the Fourth Proportional to 2,137.40, 3,206.06 and 966.57

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Solution

The fourth proportional to 2,137.40, 3,206.06 and 966.57 is: 1,449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.40 : 3,206.06 = 966.57 : x
  2. Step 2: Convert to fraction form
    2,137.40/3,206.06 = 966.57/x
  3. Step 3: Cross multiply
    2,137.40x = 3,206.06 × 966.57
  4. Step 4: Simplify right side
    2,137.40x = 3,098,865.46
  5. Step 5: Solve for x
    x = 3,098,865.46/2,137.40
  6. Step 6: Final answer
    x = 1,449.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.