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Finding the Fourth Proportional to 1,781.58, 2,458.68 and 995.66

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Solution

The fourth proportional to 1,781.58, 2,458.68 and 995.66 is: 1,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.58 : 2,458.68 = 995.66 : x
  2. Step 2: Convert to fraction form
    1,781.58/2,458.68 = 995.66/x
  3. Step 3: Cross multiply
    1,781.58x = 2,458.68 × 995.66
  4. Step 4: Simplify right side
    1,781.58x = 2,448,009.33
  5. Step 5: Solve for x
    x = 2,448,009.33/1,781.58
  6. Step 6: Final answer
    x = 1,374.07

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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.