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Finding the Fourth Proportional to 3,452.94, 5,180.22 and 1,261.71

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Solution

The fourth proportional to 3,452.94, 5,180.22 and 1,261.71 is: 1,892.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.94 : 5,180.22 = 1,261.71 : x
  2. Step 2: Convert to fraction form
    3,452.94/5,180.22 = 1,261.71/x
  3. Step 3: Cross multiply
    3,452.94x = 5,180.22 × 1,261.71
  4. Step 4: Simplify right side
    3,452.94x = 6,535,935.38
  5. Step 5: Solve for x
    x = 6,535,935.38/3,452.94
  6. Step 6: Final answer
    x = 1,892.86

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1.5x scale

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.