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Finding the Fourth Proportional to 2,698.14, 4,049.13 and 967.02

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Solution

The fourth proportional to 2,698.14, 4,049.13 and 967.02 is: 1,451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.14 : 4,049.13 = 967.02 : x
  2. Step 2: Convert to fraction form
    2,698.14/4,049.13 = 967.02/x
  3. Step 3: Cross multiply
    2,698.14x = 4,049.13 × 967.02
  4. Step 4: Simplify right side
    2,698.14x = 3,915,589.69
  5. Step 5: Solve for x
    x = 3,915,589.69/2,698.14
  6. Step 6: Final answer
    x = 1,451.22

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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.