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Finding the Fourth Proportional to 2,612.92, 3,917.82 and 881.32

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Solution

The fourth proportional to 2,612.92, 3,917.82 and 881.32 is: 1,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.92 : 3,917.82 = 881.32 : x
  2. Step 2: Convert to fraction form
    2,612.92/3,917.82 = 881.32/x
  3. Step 3: Cross multiply
    2,612.92x = 3,917.82 × 881.32
  4. Step 4: Simplify right side
    2,612.92x = 3,452,853.12
  5. Step 5: Solve for x
    x = 3,452,853.12/2,612.92
  6. Step 6: Final answer
    x = 1,321.45

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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.