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Finding the Fourth Proportional to 2,589.73, 3,885.54 and 1,616.65

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Solution

The fourth proportional to 2,589.73, 3,885.54 and 1,616.65 is: 2,425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.73 : 3,885.54 = 1,616.65 : x
  2. Step 2: Convert to fraction form
    2,589.73/3,885.54 = 1,616.65/x
  3. Step 3: Cross multiply
    2,589.73x = 3,885.54 × 1,616.65
  4. Step 4: Simplify right side
    2,589.73x = 6,281,542.46
  5. Step 5: Solve for x
    x = 6,281,542.46/2,589.73
  6. Step 6: Final answer
    x = 2,425.56

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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.