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Finding the Fourth Proportional to 3,048.50, 4,205.31 and 2,052.08

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Solution

The fourth proportional to 3,048.50, 4,205.31 and 2,052.08 is: 2,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.50 : 4,205.31 = 2,052.08 : x
  2. Step 2: Convert to fraction form
    3,048.50/4,205.31 = 2,052.08/x
  3. Step 3: Cross multiply
    3,048.50x = 4,205.31 × 2,052.08
  4. Step 4: Simplify right side
    3,048.50x = 8,629,632.54
  5. Step 5: Solve for x
    x = 8,629,632.54/3,048.50
  6. Step 6: Final answer
    x = 2,830.78

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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.