Home / 2,314.20-3,471.30-2,083.80

Finding the Fourth Proportional to 2,314.20, 3,471.30 and 2,083.80

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Solution

The fourth proportional to 2,314.20, 3,471.30 and 2,083.80 is: 3,125.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.20 : 3,471.30 = 2,083.80 : x
  2. Step 2: Convert to fraction form
    2,314.20/3,471.30 = 2,083.80/x
  3. Step 3: Cross multiply
    2,314.20x = 3,471.30 × 2,083.80
  4. Step 4: Simplify right side
    2,314.20x = 7,233,494.94
  5. Step 5: Solve for x
    x = 7,233,494.94/2,314.20
  6. Step 6: Final answer
    x = 3,125.70

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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.