Home / 2,140.82-3,211.55-986.90

Finding the Fourth Proportional to 2,140.82, 3,211.55 and 986.90

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Solution

The fourth proportional to 2,140.82, 3,211.55 and 986.90 is: 1,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.82 : 3,211.55 = 986.90 : x
  2. Step 2: Convert to fraction form
    2,140.82/3,211.55 = 986.90/x
  3. Step 3: Cross multiply
    2,140.82x = 3,211.55 × 986.90
  4. Step 4: Simplify right side
    2,140.82x = 3,169,478.70
  5. Step 5: Solve for x
    x = 3,169,478.70/2,140.82
  6. Step 6: Final answer
    x = 1,480.50

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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.