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Finding the Fourth Proportional to 2,112.85, 3,169.27 and 881.12

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Solution

The fourth proportional to 2,112.85, 3,169.27 and 881.12 is: 1,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.85 : 3,169.27 = 881.12 : x
  2. Step 2: Convert to fraction form
    2,112.85/3,169.27 = 881.12/x
  3. Step 3: Cross multiply
    2,112.85x = 3,169.27 × 881.12
  4. Step 4: Simplify right side
    2,112.85x = 2,792,513.36
  5. Step 5: Solve for x
    x = 2,792,513.36/2,112.85
  6. Step 6: Final answer
    x = 1,321.68

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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.