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Finding the Fourth Proportional to 2,698.27, 4,047.41 and 849.55

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Solution

The fourth proportional to 2,698.27, 4,047.41 and 849.55 is: 1,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.27 : 4,047.41 = 849.55 : x
  2. Step 2: Convert to fraction form
    2,698.27/4,047.41 = 849.55/x
  3. Step 3: Cross multiply
    2,698.27x = 4,047.41 × 849.55
  4. Step 4: Simplify right side
    2,698.27x = 3,438,472.92
  5. Step 5: Solve for x
    x = 3,438,472.92/2,698.27
  6. Step 6: Final answer
    x = 1,274.33

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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.