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Finding the Fourth Proportional to 3,106.33, 4,659.49 and 797.83

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Solution

The fourth proportional to 3,106.33, 4,659.49 and 797.83 is: 1,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.33 : 4,659.49 = 797.83 : x
  2. Step 2: Convert to fraction form
    3,106.33/4,659.49 = 797.83/x
  3. Step 3: Cross multiply
    3,106.33x = 4,659.49 × 797.83
  4. Step 4: Simplify right side
    3,106.33x = 3,717,480.91
  5. Step 5: Solve for x
    x = 3,717,480.91/3,106.33
  6. Step 6: Final answer
    x = 1,196.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.