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Finding the Fourth Proportional to 2,655.09, 3,982.65 and 806.22

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Solution

The fourth proportional to 2,655.09, 3,982.65 and 806.22 is: 1,209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.09 : 3,982.65 = 806.22 : x
  2. Step 2: Convert to fraction form
    2,655.09/3,982.65 = 806.22/x
  3. Step 3: Cross multiply
    2,655.09x = 3,982.65 × 806.22
  4. Step 4: Simplify right side
    2,655.09x = 3,210,888.05
  5. Step 5: Solve for x
    x = 3,210,888.05/2,655.09
  6. Step 6: Final answer
    x = 1,209.33

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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.