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Finding the Fourth Proportional to 1,781.92, 2,459.12 and 995.96

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Solution

The fourth proportional to 1,781.92, 2,459.12 and 995.96 is: 1,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.92 : 2,459.12 = 995.96 : x
  2. Step 2: Convert to fraction form
    1,781.92/2,459.12 = 995.96/x
  3. Step 3: Cross multiply
    1,781.92x = 2,459.12 × 995.96
  4. Step 4: Simplify right side
    1,781.92x = 2,449,185.16
  5. Step 5: Solve for x
    x = 2,449,185.16/1,781.92
  6. Step 6: Final answer
    x = 1,374.46

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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.