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Finding the Fourth Proportional to 2,777.49, 3,833.46 and 1,659.11

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Solution

The fourth proportional to 2,777.49, 3,833.46 and 1,659.11 is: 2,289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.49 : 3,833.46 = 1,659.11 : x
  2. Step 2: Convert to fraction form
    2,777.49/3,833.46 = 1,659.11/x
  3. Step 3: Cross multiply
    2,777.49x = 3,833.46 × 1,659.11
  4. Step 4: Simplify right side
    2,777.49x = 6,360,112.65
  5. Step 5: Solve for x
    x = 6,360,112.65/2,777.49
  6. Step 6: Final answer
    x = 2,289.88

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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.