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Finding the Fourth Proportional to 3,278.97, 4,920.97 and 1,200.95

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Solution

The fourth proportional to 3,278.97, 4,920.97 and 1,200.95 is: 1,802.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.97 : 4,920.97 = 1,200.95 : x
  2. Step 2: Convert to fraction form
    3,278.97/4,920.97 = 1,200.95/x
  3. Step 3: Cross multiply
    3,278.97x = 4,920.97 × 1,200.95
  4. Step 4: Simplify right side
    3,278.97x = 5,909,811.31
  5. Step 5: Solve for x
    x = 5,909,811.31/3,278.97
  6. Step 6: Final answer
    x = 1,802.34

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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.