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Finding the Fourth Proportional to 2,584.60, 3,876.66 and 1,610.68

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Solution

The fourth proportional to 2,584.60, 3,876.66 and 1,610.68 is: 2,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.60 : 3,876.66 = 1,610.68 : x
  2. Step 2: Convert to fraction form
    2,584.60/3,876.66 = 1,610.68/x
  3. Step 3: Cross multiply
    2,584.60x = 3,876.66 × 1,610.68
  4. Step 4: Simplify right side
    2,584.60x = 6,244,058.73
  5. Step 5: Solve for x
    x = 6,244,058.73/2,584.60
  6. Step 6: Final answer
    x = 2,415.87

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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.