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Finding the Fourth Proportional to 2,606.97, 3,909.49 and 851.57

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Solution

The fourth proportional to 2,606.97, 3,909.49 and 851.57 is: 1,277.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.97 : 3,909.49 = 851.57 : x
  2. Step 2: Convert to fraction form
    2,606.97/3,909.49 = 851.57/x
  3. Step 3: Cross multiply
    2,606.97x = 3,909.49 × 851.57
  4. Step 4: Simplify right side
    2,606.97x = 3,329,182.72
  5. Step 5: Solve for x
    x = 3,329,182.72/2,606.97
  6. Step 6: Final answer
    x = 1,277.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.