Home / 2,314.25-3,471.12-582.88

Finding the Fourth Proportional to 2,314.25, 3,471.12 and 582.88

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Solution

The fourth proportional to 2,314.25, 3,471.12 and 582.88 is: 874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.25 : 3,471.12 = 582.88 : x
  2. Step 2: Convert to fraction form
    2,314.25/3,471.12 = 582.88/x
  3. Step 3: Cross multiply
    2,314.25x = 3,471.12 × 582.88
  4. Step 4: Simplify right side
    2,314.25x = 2,023,229.07
  5. Step 5: Solve for x
    x = 2,023,229.07/2,314.25
  6. Step 6: Final answer
    x = 874.25

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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.