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Finding the Fourth Proportional to 3,340.13, 4,609.78 and 1,942.88

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Solution

The fourth proportional to 3,340.13, 4,609.78 and 1,942.88 is: 2,681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.13 : 4,609.78 = 1,942.88 : x
  2. Step 2: Convert to fraction form
    3,340.13/4,609.78 = 1,942.88/x
  3. Step 3: Cross multiply
    3,340.13x = 4,609.78 × 1,942.88
  4. Step 4: Simplify right side
    3,340.13x = 8,956,249.37
  5. Step 5: Solve for x
    x = 8,956,249.37/3,340.13
  6. Step 6: Final answer
    x = 2,681.41

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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.