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Finding the Fourth Proportional to 3,067.78, 4,601.23 and 987.51

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Solution

The fourth proportional to 3,067.78, 4,601.23 and 987.51 is: 1,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.78 : 4,601.23 = 987.51 : x
  2. Step 2: Convert to fraction form
    3,067.78/4,601.23 = 987.51/x
  3. Step 3: Cross multiply
    3,067.78x = 4,601.23 × 987.51
  4. Step 4: Simplify right side
    3,067.78x = 4,543,760.64
  5. Step 5: Solve for x
    x = 4,543,760.64/3,067.78
  6. Step 6: Final answer
    x = 1,481.12

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1.5x scale

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.