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Finding the Fourth Proportional to 1,781.94, 2,459.06 and 995.98

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Solution

The fourth proportional to 1,781.94, 2,459.06 and 995.98 is: 1,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.94 : 2,459.06 = 995.98 : x
  2. Step 2: Convert to fraction form
    1,781.94/2,459.06 = 995.98/x
  3. Step 3: Cross multiply
    1,781.94x = 2,459.06 × 995.98
  4. Step 4: Simplify right side
    1,781.94x = 2,449,174.58
  5. Step 5: Solve for x
    x = 2,449,174.58/1,781.94
  6. Step 6: Final answer
    x = 1,374.44

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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.