Home / 2,584.66-3,874.16-1,121

Finding the Fourth Proportional to 2,584.66, 3,874.16 and 1,121

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Solution

The fourth proportional to 2,584.66, 3,874.16 and 1,121 is: 1,680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.66 : 3,874.16 = 1,121 : x
  2. Step 2: Convert to fraction form
    2,584.66/3,874.16 = 1,121/x
  3. Step 3: Cross multiply
    2,584.66x = 3,874.16 × 1,121
  4. Step 4: Simplify right side
    2,584.66x = 4,342,933.36
  5. Step 5: Solve for x
    x = 4,342,933.36/2,584.66
  6. Step 6: Final answer
    x = 1,680.27

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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.