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Finding the Fourth Proportional to 3,106.20, 4,659.21 and 766.20

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Solution

The fourth proportional to 3,106.20, 4,659.21 and 766.20 is: 1,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.20 : 4,659.21 = 766.20 : x
  2. Step 2: Convert to fraction form
    3,106.20/4,659.21 = 766.20/x
  3. Step 3: Cross multiply
    3,106.20x = 4,659.21 × 766.20
  4. Step 4: Simplify right side
    3,106.20x = 3,569,886.70
  5. Step 5: Solve for x
    x = 3,569,886.70/3,106.20
  6. Step 6: Final answer
    x = 1,149.28

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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.