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Finding the Fourth Proportional to 2,616.67, 3,924.70 and 885.29

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Solution

The fourth proportional to 2,616.67, 3,924.70 and 885.29 is: 1,327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.67 : 3,924.70 = 885.29 : x
  2. Step 2: Convert to fraction form
    2,616.67/3,924.70 = 885.29/x
  3. Step 3: Cross multiply
    2,616.67x = 3,924.70 × 885.29
  4. Step 4: Simplify right side
    2,616.67x = 3,474,497.66
  5. Step 5: Solve for x
    x = 3,474,497.66/2,616.67
  6. Step 6: Final answer
    x = 1,327.83

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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.