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Finding the Fourth Proportional to 1,781.88, 2,458.96 and 995.97

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Solution

The fourth proportional to 1,781.88, 2,458.96 and 995.97 is: 1,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.88 : 2,458.96 = 995.97 : x
  2. Step 2: Convert to fraction form
    1,781.88/2,458.96 = 995.97/x
  3. Step 3: Cross multiply
    1,781.88x = 2,458.96 × 995.97
  4. Step 4: Simplify right side
    1,781.88x = 2,449,050.39
  5. Step 5: Solve for x
    x = 2,449,050.39/1,781.88
  6. Step 6: Final answer
    x = 1,374.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.