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Finding the Fourth Proportional to 3,067.85, 4,601.75 and 876.60

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Solution

The fourth proportional to 3,067.85, 4,601.75 and 876.60 is: 1,314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.85 : 4,601.75 = 876.60 : x
  2. Step 2: Convert to fraction form
    3,067.85/4,601.75 = 876.60/x
  3. Step 3: Cross multiply
    3,067.85x = 4,601.75 × 876.60
  4. Step 4: Simplify right side
    3,067.85x = 4,033,889.67
  5. Step 5: Solve for x
    x = 4,033,889.67/3,067.85
  6. Step 6: Final answer
    x = 1,314.89

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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.