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Finding the Fourth Proportional to 3,278.68, 4,918.82 and 1,199

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Solution

The fourth proportional to 3,278.68, 4,918.82 and 1,199 is: 1,798.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.68 : 4,918.82 = 1,199 : x
  2. Step 2: Convert to fraction form
    3,278.68/4,918.82 = 1,199/x
  3. Step 3: Cross multiply
    3,278.68x = 4,918.82 × 1,199
  4. Step 4: Simplify right side
    3,278.68x = 5,897,665.18
  5. Step 5: Solve for x
    x = 5,897,665.18/3,278.68
  6. Step 6: Final answer
    x = 1,798.79

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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.