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Finding the Fourth Proportional to 2,606.39, 3,909.83 and 851.33

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Solution

The fourth proportional to 2,606.39, 3,909.83 and 851.33 is: 1,277.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.39 : 3,909.83 = 851.33 : x
  2. Step 2: Convert to fraction form
    2,606.39/3,909.83 = 851.33/x
  3. Step 3: Cross multiply
    2,606.39x = 3,909.83 × 851.33
  4. Step 4: Simplify right side
    2,606.39x = 3,328,543.89
  5. Step 5: Solve for x
    x = 3,328,543.89/2,606.39
  6. Step 6: Final answer
    x = 1,277.07

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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.