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Finding the Fourth Proportional to 2,766.62, 4,150.20 and 1,206.16

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Solution

The fourth proportional to 2,766.62, 4,150.20 and 1,206.16 is: 1,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.62 : 4,150.20 = 1,206.16 : x
  2. Step 2: Convert to fraction form
    2,766.62/4,150.20 = 1,206.16/x
  3. Step 3: Cross multiply
    2,766.62x = 4,150.20 × 1,206.16
  4. Step 4: Simplify right side
    2,766.62x = 5,005,799.38
  5. Step 5: Solve for x
    x = 5,005,799.38/2,766.62
  6. Step 6: Final answer
    x = 1,809.35

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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.