Home / 2,583.77-3,876.17-1,023.48

Finding the Fourth Proportional to 2,583.77, 3,876.17 and 1,023.48

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Solution

The fourth proportional to 2,583.77, 3,876.17 and 1,023.48 is: 1,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.77 : 3,876.17 = 1,023.48 : x
  2. Step 2: Convert to fraction form
    2,583.77/3,876.17 = 1,023.48/x
  3. Step 3: Cross multiply
    2,583.77x = 3,876.17 × 1,023.48
  4. Step 4: Simplify right side
    2,583.77x = 3,967,184.62
  5. Step 5: Solve for x
    x = 3,967,184.62/2,583.77
  6. Step 6: Final answer
    x = 1,535.43

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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.