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Finding the Fourth Proportional to 2,290.50, 3,161.97 and 2,208.42

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Solution

The fourth proportional to 2,290.50, 3,161.97 and 2,208.42 is: 3,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.50 : 3,161.97 = 2,208.42 : x
  2. Step 2: Convert to fraction form
    2,290.50/3,161.97 = 2,208.42/x
  3. Step 3: Cross multiply
    2,290.50x = 3,161.97 × 2,208.42
  4. Step 4: Simplify right side
    2,290.50x = 6,982,957.79
  5. Step 5: Solve for x
    x = 6,982,957.79/2,290.50
  6. Step 6: Final answer
    x = 3,048.66

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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.