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Finding the Fourth Proportional to 2,844.52, 4,266.78 and 896.92

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Solution

The fourth proportional to 2,844.52, 4,266.78 and 896.92 is: 1,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.52 : 4,266.78 = 896.92 : x
  2. Step 2: Convert to fraction form
    2,844.52/4,266.78 = 896.92/x
  3. Step 3: Cross multiply
    2,844.52x = 4,266.78 × 896.92
  4. Step 4: Simplify right side
    2,844.52x = 3,826,960.32
  5. Step 5: Solve for x
    x = 3,826,960.32/2,844.52
  6. Step 6: Final answer
    x = 1,345.38

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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.