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Finding the Fourth Proportional to 2,698.04, 4,047.23 and 849.21

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Solution

The fourth proportional to 2,698.04, 4,047.23 and 849.21 is: 1,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.04 : 4,047.23 = 849.21 : x
  2. Step 2: Convert to fraction form
    2,698.04/4,047.23 = 849.21/x
  3. Step 3: Cross multiply
    2,698.04x = 4,047.23 × 849.21
  4. Step 4: Simplify right side
    2,698.04x = 3,436,943.94
  5. Step 5: Solve for x
    x = 3,436,943.94/2,698.04
  6. Step 6: Final answer
    x = 1,273.87

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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.