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Finding the Fourth Proportional to 2,630.57, 3,945.98 and 1,069.77

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Solution

The fourth proportional to 2,630.57, 3,945.98 and 1,069.77 is: 1,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.57 : 3,945.98 = 1,069.77 : x
  2. Step 2: Convert to fraction form
    2,630.57/3,945.98 = 1,069.77/x
  3. Step 3: Cross multiply
    2,630.57x = 3,945.98 × 1,069.77
  4. Step 4: Simplify right side
    2,630.57x = 4,221,285.68
  5. Step 5: Solve for x
    x = 4,221,285.68/2,630.57
  6. Step 6: Final answer
    x = 1,604.71

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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.