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Finding the Fourth Proportional to 2,616.54, 3,610.50 and 2,086.80

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Solution

The fourth proportional to 2,616.54, 3,610.50 and 2,086.80 is: 2,879.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.54 : 3,610.50 = 2,086.80 : x
  2. Step 2: Convert to fraction form
    2,616.54/3,610.50 = 2,086.80/x
  3. Step 3: Cross multiply
    2,616.54x = 3,610.50 × 2,086.80
  4. Step 4: Simplify right side
    2,616.54x = 7,534,391.40
  5. Step 5: Solve for x
    x = 7,534,391.40/2,616.54
  6. Step 6: Final answer
    x = 2,879.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.