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Finding the Fourth Proportional to 2,766.69, 4,150.13 and 1,123.20

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Solution

The fourth proportional to 2,766.69, 4,150.13 and 1,123.20 is: 1,684.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.69 : 4,150.13 = 1,123.20 : x
  2. Step 2: Convert to fraction form
    2,766.69/4,150.13 = 1,123.20/x
  3. Step 3: Cross multiply
    2,766.69x = 4,150.13 × 1,123.20
  4. Step 4: Simplify right side
    2,766.69x = 4,661,420.40
  5. Step 5: Solve for x
    x = 4,661,420.40/2,766.69
  6. Step 6: Final answer
    x = 1,684.84

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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.