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Finding the Fourth Proportional to 2,844.16, 4,266.20 and 896.34

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Solution

The fourth proportional to 2,844.16, 4,266.20 and 896.34 is: 1,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.16 : 4,266.20 = 896.34 : x
  2. Step 2: Convert to fraction form
    2,844.16/4,266.20 = 896.34/x
  3. Step 3: Cross multiply
    2,844.16x = 4,266.20 × 896.34
  4. Step 4: Simplify right side
    2,844.16x = 3,823,983.95
  5. Step 5: Solve for x
    x = 3,823,983.95/2,844.16
  6. Step 6: Final answer
    x = 1,344.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.