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Finding the Fourth Proportional to 2,617.64, 3,923.96 and 885

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Solution

The fourth proportional to 2,617.64, 3,923.96 and 885 is: 1,326.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.64 : 3,923.96 = 885 : x
  2. Step 2: Convert to fraction form
    2,617.64/3,923.96 = 885/x
  3. Step 3: Cross multiply
    2,617.64x = 3,923.96 × 885
  4. Step 4: Simplify right side
    2,617.64x = 3,472,704.60
  5. Step 5: Solve for x
    x = 3,472,704.60/2,617.64
  6. Step 6: Final answer
    x = 1,326.65

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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.