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Finding the Fourth Proportional to 3,166.90, 4,750.62 and 827.22

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Solution

The fourth proportional to 3,166.90, 4,750.62 and 827.22 is: 1,240.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.90 : 4,750.62 = 827.22 : x
  2. Step 2: Convert to fraction form
    3,166.90/4,750.62 = 827.22/x
  3. Step 3: Cross multiply
    3,166.90x = 4,750.62 × 827.22
  4. Step 4: Simplify right side
    3,166.90x = 3,929,807.88
  5. Step 5: Solve for x
    x = 3,929,807.88/3,166.90
  6. Step 6: Final answer
    x = 1,240.90

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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.