Home / 2,583.68-3,874.14-1,023.62

Finding the Fourth Proportional to 2,583.68, 3,874.14 and 1,023.62

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Solution

The fourth proportional to 2,583.68, 3,874.14 and 1,023.62 is: 1,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.68 : 3,874.14 = 1,023.62 : x
  2. Step 2: Convert to fraction form
    2,583.68/3,874.14 = 1,023.62/x
  3. Step 3: Cross multiply
    2,583.68x = 3,874.14 × 1,023.62
  4. Step 4: Simplify right side
    2,583.68x = 3,965,647.19
  5. Step 5: Solve for x
    x = 3,965,647.19/2,583.68
  6. Step 6: Final answer
    x = 1,534.88

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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.