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Finding the Fourth Proportional to 2,844.38, 4,268.50 and 995.51

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Solution

The fourth proportional to 2,844.38, 4,268.50 and 995.51 is: 1,493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.38 : 4,268.50 = 995.51 : x
  2. Step 2: Convert to fraction form
    2,844.38/4,268.50 = 995.51/x
  3. Step 3: Cross multiply
    2,844.38x = 4,268.50 × 995.51
  4. Step 4: Simplify right side
    2,844.38x = 4,249,350.62
  5. Step 5: Solve for x
    x = 4,249,350.62/2,844.38
  6. Step 6: Final answer
    x = 1,493.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.