Home / 2,314.14-3,471.24-582.78

Finding the Fourth Proportional to 2,314.14, 3,471.24 and 582.78

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Solution

The fourth proportional to 2,314.14, 3,471.24 and 582.78 is: 874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.14 : 3,471.24 = 582.78 : x
  2. Step 2: Convert to fraction form
    2,314.14/3,471.24 = 582.78/x
  3. Step 3: Cross multiply
    2,314.14x = 3,471.24 × 582.78
  4. Step 4: Simplify right side
    2,314.14x = 2,022,969.25
  5. Step 5: Solve for x
    x = 2,022,969.25/2,314.14
  6. Step 6: Final answer
    x = 874.18

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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.