Home / 2,582.97-3,874.75-1,023.11

Finding the Fourth Proportional to 2,582.97, 3,874.75 and 1,023.11

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Solution

The fourth proportional to 2,582.97, 3,874.75 and 1,023.11 is: 1,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.97 : 3,874.75 = 1,023.11 : x
  2. Step 2: Convert to fraction form
    2,582.97/3,874.75 = 1,023.11/x
  3. Step 3: Cross multiply
    2,582.97x = 3,874.75 × 1,023.11
  4. Step 4: Simplify right side
    2,582.97x = 3,964,278.61
  5. Step 5: Solve for x
    x = 3,964,278.61/2,582.97
  6. Step 6: Final answer
    x = 1,534.78

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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.