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Finding the Fourth Proportional to 2,781.54, 4,171.86 and 833.40

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Solution

The fourth proportional to 2,781.54, 4,171.86 and 833.40 is: 1,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.54 : 4,171.86 = 833.40 : x
  2. Step 2: Convert to fraction form
    2,781.54/4,171.86 = 833.40/x
  3. Step 3: Cross multiply
    2,781.54x = 4,171.86 × 833.40
  4. Step 4: Simplify right side
    2,781.54x = 3,476,828.12
  5. Step 5: Solve for x
    x = 3,476,828.12/2,781.54
  6. Step 6: Final answer
    x = 1,249.97

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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.