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Finding the Fourth Proportional to 3,106.40, 4,659.60 and 797.90

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Solution

The fourth proportional to 3,106.40, 4,659.60 and 797.90 is: 1,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.40 : 4,659.60 = 797.90 : x
  2. Step 2: Convert to fraction form
    3,106.40/4,659.60 = 797.90/x
  3. Step 3: Cross multiply
    3,106.40x = 4,659.60 × 797.90
  4. Step 4: Simplify right side
    3,106.40x = 3,717,894.84
  5. Step 5: Solve for x
    x = 3,717,894.84/3,106.40
  6. Step 6: Final answer
    x = 1,196.85

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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.