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Finding the Fourth Proportional to 2,929.84, 4,394.78 and 1,198.47

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Solution

The fourth proportional to 2,929.84, 4,394.78 and 1,198.47 is: 1,797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.84 : 4,394.78 = 1,198.47 : x
  2. Step 2: Convert to fraction form
    2,929.84/4,394.78 = 1,198.47/x
  3. Step 3: Cross multiply
    2,929.84x = 4,394.78 × 1,198.47
  4. Step 4: Simplify right side
    2,929.84x = 5,267,008.99
  5. Step 5: Solve for x
    x = 5,267,008.99/2,929.84
  6. Step 6: Final answer
    x = 1,797.71

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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.