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Finding the Fourth Proportional to 2,766.57, 4,150.53 and 1,123.58

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Solution

The fourth proportional to 2,766.57, 4,150.53 and 1,123.58 is: 1,685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.57 : 4,150.53 = 1,123.58 : x
  2. Step 2: Convert to fraction form
    2,766.57/4,150.53 = 1,123.58/x
  3. Step 3: Cross multiply
    2,766.57x = 4,150.53 × 1,123.58
  4. Step 4: Simplify right side
    2,766.57x = 4,663,452.50
  5. Step 5: Solve for x
    x = 4,663,452.50/2,766.57
  6. Step 6: Final answer
    x = 1,685.64

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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.