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Finding the Fourth Proportional to 3,067.72, 4,600.86 and 1,506.16

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Solution

The fourth proportional to 3,067.72, 4,600.86 and 1,506.16 is: 2,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.72 : 4,600.86 = 1,506.16 : x
  2. Step 2: Convert to fraction form
    3,067.72/4,600.86 = 1,506.16/x
  3. Step 3: Cross multiply
    3,067.72x = 4,600.86 × 1,506.16
  4. Step 4: Simplify right side
    3,067.72x = 6,929,631.30
  5. Step 5: Solve for x
    x = 6,929,631.30/3,067.72
  6. Step 6: Final answer
    x = 2,258.89

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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.