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Finding the Fourth Proportional to 2,991.98, 4,128.18 and 2,048.06

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Solution

The fourth proportional to 2,991.98, 4,128.18 and 2,048.06 is: 2,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.98 : 4,128.18 = 2,048.06 : x
  2. Step 2: Convert to fraction form
    2,991.98/4,128.18 = 2,048.06/x
  3. Step 3: Cross multiply
    2,991.98x = 4,128.18 × 2,048.06
  4. Step 4: Simplify right side
    2,991.98x = 8,454,760.33
  5. Step 5: Solve for x
    x = 8,454,760.33/2,991.98
  6. Step 6: Final answer
    x = 2,825.81

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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.