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Finding the Fourth Proportional to 2,639.50, 3,958.62 and 884.57

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Solution

The fourth proportional to 2,639.50, 3,958.62 and 884.57 is: 1,326.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.50 : 3,958.62 = 884.57 : x
  2. Step 2: Convert to fraction form
    2,639.50/3,958.62 = 884.57/x
  3. Step 3: Cross multiply
    2,639.50x = 3,958.62 × 884.57
  4. Step 4: Simplify right side
    2,639.50x = 3,501,658.36
  5. Step 5: Solve for x
    x = 3,501,658.36/2,639.50
  6. Step 6: Final answer
    x = 1,326.64

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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.