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Finding the Fourth Proportional to 2,979.53, 4,469.10 and 1,224.08

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Solution

The fourth proportional to 2,979.53, 4,469.10 and 1,224.08 is: 1,836.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979.53 : 4,469.10 = 1,224.08 : x
  2. Step 2: Convert to fraction form
    2,979.53/4,469.10 = 1,224.08/x
  3. Step 3: Cross multiply
    2,979.53x = 4,469.10 × 1,224.08
  4. Step 4: Simplify right side
    2,979.53x = 5,470,519.17
  5. Step 5: Solve for x
    x = 5,470,519.17/2,979.53
  6. Step 6: Final answer
    x = 1,836.03

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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.