Home / 2,209.60-3,314.37-566.14

Finding the Fourth Proportional to 2,209.60, 3,314.37 and 566.14

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Solution

The fourth proportional to 2,209.60, 3,314.37 and 566.14 is: 849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.60 : 3,314.37 = 566.14 : x
  2. Step 2: Convert to fraction form
    2,209.60/3,314.37 = 566.14/x
  3. Step 3: Cross multiply
    2,209.60x = 3,314.37 × 566.14
  4. Step 4: Simplify right side
    2,209.60x = 1,876,397.43
  5. Step 5: Solve for x
    x = 1,876,397.43/2,209.60
  6. Step 6: Final answer
    x = 849.20

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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.