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Finding the Fourth Proportional to 2,934.44, 4,049.70 and 2,467.88

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Solution

The fourth proportional to 2,934.44, 4,049.70 and 2,467.88 is: 3,405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.44 : 4,049.70 = 2,467.88 : x
  2. Step 2: Convert to fraction form
    2,934.44/4,049.70 = 2,467.88/x
  3. Step 3: Cross multiply
    2,934.44x = 4,049.70 × 2,467.88
  4. Step 4: Simplify right side
    2,934.44x = 9,994,173.64
  5. Step 5: Solve for x
    x = 9,994,173.64/2,934.44
  6. Step 6: Final answer
    x = 3,405.82

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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.