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Finding the Fourth Proportional to 2,977.32, 4,104.78 and 2,444.24

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Solution

The fourth proportional to 2,977.32, 4,104.78 and 2,444.24 is: 3,369.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.32 : 4,104.78 = 2,444.24 : x
  2. Step 2: Convert to fraction form
    2,977.32/4,104.78 = 2,444.24/x
  3. Step 3: Cross multiply
    2,977.32x = 4,104.78 × 2,444.24
  4. Step 4: Simplify right side
    2,977.32x = 10,033,067.47
  5. Step 5: Solve for x
    x = 10,033,067.47/2,977.32
  6. Step 6: Final answer
    x = 3,369.83

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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.