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Finding the Fourth Proportional to 3,187.82, 4,783.58 and 1,338.78

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Solution

The fourth proportional to 3,187.82, 4,783.58 and 1,338.78 is: 2,008.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.82 : 4,783.58 = 1,338.78 : x
  2. Step 2: Convert to fraction form
    3,187.82/4,783.58 = 1,338.78/x
  3. Step 3: Cross multiply
    3,187.82x = 4,783.58 × 1,338.78
  4. Step 4: Simplify right side
    3,187.82x = 6,404,133.97
  5. Step 5: Solve for x
    x = 6,404,133.97/3,187.82
  6. Step 6: Final answer
    x = 2,008.94

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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.