Home / 2,083.12-3,122.50-986.17

Finding the Fourth Proportional to 2,083.12, 3,122.50 and 986.17

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Solution

The fourth proportional to 2,083.12, 3,122.50 and 986.17 is: 1,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.12 : 3,122.50 = 986.17 : x
  2. Step 2: Convert to fraction form
    2,083.12/3,122.50 = 986.17/x
  3. Step 3: Cross multiply
    2,083.12x = 3,122.50 × 986.17
  4. Step 4: Simplify right side
    2,083.12x = 3,079,315.83
  5. Step 5: Solve for x
    x = 3,079,315.83/2,083.12
  6. Step 6: Final answer
    x = 1,478.22

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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.