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Finding the Fourth Proportional to 1,781.24, 2,458.18 and 995.48

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Solution

The fourth proportional to 1,781.24, 2,458.18 and 995.48 is: 1,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.24 : 2,458.18 = 995.48 : x
  2. Step 2: Convert to fraction form
    1,781.24/2,458.18 = 995.48/x
  3. Step 3: Cross multiply
    1,781.24x = 2,458.18 × 995.48
  4. Step 4: Simplify right side
    1,781.24x = 2,447,069.03
  5. Step 5: Solve for x
    x = 2,447,069.03/1,781.24
  6. Step 6: Final answer
    x = 1,373.80

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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.