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Finding the Fourth Proportional to 2,204.84, 3,297.72 and 1,278.20

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Solution

The fourth proportional to 2,204.84, 3,297.72 and 1,278.20 is: 1,911.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.84 : 3,297.72 = 1,278.20 : x
  2. Step 2: Convert to fraction form
    2,204.84/3,297.72 = 1,278.20/x
  3. Step 3: Cross multiply
    2,204.84x = 3,297.72 × 1,278.20
  4. Step 4: Simplify right side
    2,204.84x = 4,215,145.70
  5. Step 5: Solve for x
    x = 4,215,145.70/2,204.84
  6. Step 6: Final answer
    x = 1,911.77

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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.