Home / 2,583.06-3,874.52-1,023.88

Finding the Fourth Proportional to 2,583.06, 3,874.52 and 1,023.88

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Solution

The fourth proportional to 2,583.06, 3,874.52 and 1,023.88 is: 1,535.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.06 : 3,874.52 = 1,023.88 : x
  2. Step 2: Convert to fraction form
    2,583.06/3,874.52 = 1,023.88/x
  3. Step 3: Cross multiply
    2,583.06x = 3,874.52 × 1,023.88
  4. Step 4: Simplify right side
    2,583.06x = 3,967,043.54
  5. Step 5: Solve for x
    x = 3,967,043.54/2,583.06
  6. Step 6: Final answer
    x = 1,535.79

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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.