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Finding the Fourth Proportional to 3,067.61, 4,601.68 and 987.66

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Solution

The fourth proportional to 3,067.61, 4,601.68 and 987.66 is: 1,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.61 : 4,601.68 = 987.66 : x
  2. Step 2: Convert to fraction form
    3,067.61/4,601.68 = 987.66/x
  3. Step 3: Cross multiply
    3,067.61x = 4,601.68 × 987.66
  4. Step 4: Simplify right side
    3,067.61x = 4,544,892.80
  5. Step 5: Solve for x
    x = 4,544,892.80/3,067.61
  6. Step 6: Final answer
    x = 1,481.58

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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.