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Finding the Fourth Proportional to 2,209.92, 3,314.86 and 566.46

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Solution

The fourth proportional to 2,209.92, 3,314.86 and 566.46 is: 849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.92 : 3,314.86 = 566.46 : x
  2. Step 2: Convert to fraction form
    2,209.92/3,314.86 = 566.46/x
  3. Step 3: Cross multiply
    2,209.92x = 3,314.86 × 566.46
  4. Step 4: Simplify right side
    2,209.92x = 1,877,734.18
  5. Step 5: Solve for x
    x = 1,877,734.18/2,209.92
  6. Step 6: Final answer
    x = 849.69

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Similar ratio
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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.