Home / 1,983.26-2,974.92-1,521.86

Finding the Fourth Proportional to 1,983.26, 2,974.92 and 1,521.86

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Solution

The fourth proportional to 1,983.26, 2,974.92 and 1,521.86 is: 2,282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.26 : 2,974.92 = 1,521.86 : x
  2. Step 2: Convert to fraction form
    1,983.26/2,974.92 = 1,521.86/x
  3. Step 3: Cross multiply
    1,983.26x = 2,974.92 × 1,521.86
  4. Step 4: Simplify right side
    1,983.26x = 4,527,411.75
  5. Step 5: Solve for x
    x = 4,527,411.75/1,983.26
  6. Step 6: Final answer
    x = 2,282.81

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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.