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Finding the Fourth Proportional to 3,363.84, 5,044.67 and 1,226.40

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Solution

The fourth proportional to 3,363.84, 5,044.67 and 1,226.40 is: 1,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.84 : 5,044.67 = 1,226.40 : x
  2. Step 2: Convert to fraction form
    3,363.84/5,044.67 = 1,226.40/x
  3. Step 3: Cross multiply
    3,363.84x = 5,044.67 × 1,226.40
  4. Step 4: Simplify right side
    3,363.84x = 6,186,758.06
  5. Step 5: Solve for x
    x = 6,186,758.06/3,363.84
  6. Step 6: Final answer
    x = 1,839.20

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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.