Home / 2,209.58-3,314.36-566.13

Finding the Fourth Proportional to 2,209.58, 3,314.36 and 566.13

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Solution

The fourth proportional to 2,209.58, 3,314.36 and 566.13 is: 849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.58 : 3,314.36 = 566.13 : x
  2. Step 2: Convert to fraction form
    2,209.58/3,314.36 = 566.13/x
  3. Step 3: Cross multiply
    2,209.58x = 3,314.36 × 566.13
  4. Step 4: Simplify right side
    2,209.58x = 1,876,347.61
  5. Step 5: Solve for x
    x = 1,876,347.61/2,209.58
  6. Step 6: Final answer
    x = 849.19

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1.5x scale

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.