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Finding the Fourth Proportional to 2,566.31, 3,850.11 and 717.42

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Solution

The fourth proportional to 2,566.31, 3,850.11 and 717.42 is: 1,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.31 : 3,850.11 = 717.42 : x
  2. Step 2: Convert to fraction form
    2,566.31/3,850.11 = 717.42/x
  3. Step 3: Cross multiply
    2,566.31x = 3,850.11 × 717.42
  4. Step 4: Simplify right side
    2,566.31x = 2,762,160.35
  5. Step 5: Solve for x
    x = 2,762,160.35/2,566.31
  6. Step 6: Final answer
    x = 1,076.32

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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.