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Finding the Fourth Proportional to 2,986.81, 4,480.22 and 906.83

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Solution

The fourth proportional to 2,986.81, 4,480.22 and 906.83 is: 1,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.81 : 4,480.22 = 906.83 : x
  2. Step 2: Convert to fraction form
    2,986.81/4,480.22 = 906.83/x
  3. Step 3: Cross multiply
    2,986.81x = 4,480.22 × 906.83
  4. Step 4: Simplify right side
    2,986.81x = 4,062,780.66
  5. Step 5: Solve for x
    x = 4,062,780.66/2,986.81
  6. Step 6: Final answer
    x = 1,360.24

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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.