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Finding the Fourth Proportional to 2,383.52, 3,290.78 and 1,942.47

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Solution

The fourth proportional to 2,383.52, 3,290.78 and 1,942.47 is: 2,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.52 : 3,290.78 = 1,942.47 : x
  2. Step 2: Convert to fraction form
    2,383.52/3,290.78 = 1,942.47/x
  3. Step 3: Cross multiply
    2,383.52x = 3,290.78 × 1,942.47
  4. Step 4: Simplify right side
    2,383.52x = 6,392,231.71
  5. Step 5: Solve for x
    x = 6,392,231.71/2,383.52
  6. Step 6: Final answer
    x = 2,681.85

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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.