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Finding the Fourth Proportional to 2,839.86, 3,917.54 and 1,660.25

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Solution

The fourth proportional to 2,839.86, 3,917.54 and 1,660.25 is: 2,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.86 : 3,917.54 = 1,660.25 : x
  2. Step 2: Convert to fraction form
    2,839.86/3,917.54 = 1,660.25/x
  3. Step 3: Cross multiply
    2,839.86x = 3,917.54 × 1,660.25
  4. Step 4: Simplify right side
    2,839.86x = 6,504,095.79
  5. Step 5: Solve for x
    x = 6,504,095.79/2,839.86
  6. Step 6: Final answer
    x = 2,290.29

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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.