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Finding the Fourth Proportional to 2,844.66, 4,266.99 and 896.81

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Solution

The fourth proportional to 2,844.66, 4,266.99 and 896.81 is: 1,345.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.66 : 4,266.99 = 896.81 : x
  2. Step 2: Convert to fraction form
    2,844.66/4,266.99 = 896.81/x
  3. Step 3: Cross multiply
    2,844.66x = 4,266.99 × 896.81
  4. Step 4: Simplify right side
    2,844.66x = 3,826,689.97
  5. Step 5: Solve for x
    x = 3,826,689.97/2,844.66
  6. Step 6: Final answer
    x = 1,345.22

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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.