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Finding the Fourth Proportional to 3,149.54, 4,742.62 and 2,333.60

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Solution

The fourth proportional to 3,149.54, 4,742.62 and 2,333.60 is: 3,513.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.54 : 4,742.62 = 2,333.60 : x
  2. Step 2: Convert to fraction form
    3,149.54/4,742.62 = 2,333.60/x
  3. Step 3: Cross multiply
    3,149.54x = 4,742.62 × 2,333.60
  4. Step 4: Simplify right side
    3,149.54x = 11,067,378.03
  5. Step 5: Solve for x
    x = 11,067,378.03/3,149.54
  6. Step 6: Final answer
    x = 3,513.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.