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Finding the Fourth Proportional to 2,844.02, 4,266.44 and 896.38

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Solution

The fourth proportional to 2,844.02, 4,266.44 and 896.38 is: 1,344.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.02 : 4,266.44 = 896.38 : x
  2. Step 2: Convert to fraction form
    2,844.02/4,266.44 = 896.38/x
  3. Step 3: Cross multiply
    2,844.02x = 4,266.44 × 896.38
  4. Step 4: Simplify right side
    2,844.02x = 3,824,351.49
  5. Step 5: Solve for x
    x = 3,824,351.49/2,844.02
  6. Step 6: Final answer
    x = 1,344.70

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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.