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Finding the Fourth Proportional to 3,297.30, 4,947.90 and 1,218.78

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Solution

The fourth proportional to 3,297.30, 4,947.90 and 1,218.78 is: 1,828.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.30 : 4,947.90 = 1,218.78 : x
  2. Step 2: Convert to fraction form
    3,297.30/4,947.90 = 1,218.78/x
  3. Step 3: Cross multiply
    3,297.30x = 4,947.90 × 1,218.78
  4. Step 4: Simplify right side
    3,297.30x = 6,030,401.56
  5. Step 5: Solve for x
    x = 6,030,401.56/3,297.30
  6. Step 6: Final answer
    x = 1,828.89

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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.