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Finding the Fourth Proportional to 2,698.46, 4,047.68 and 2,204.33

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Solution

The fourth proportional to 2,698.46, 4,047.68 and 2,204.33 is: 3,306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.46 : 4,047.68 = 2,204.33 : x
  2. Step 2: Convert to fraction form
    2,698.46/4,047.68 = 2,204.33/x
  3. Step 3: Cross multiply
    2,698.46x = 4,047.68 × 2,204.33
  4. Step 4: Simplify right side
    2,698.46x = 8,922,391.19
  5. Step 5: Solve for x
    x = 8,922,391.19/2,698.46
  6. Step 6: Final answer
    x = 3,306.48

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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.