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Finding the Fourth Proportional to 1,604.62, 2,214.16 and 896.36

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Solution

The fourth proportional to 1,604.62, 2,214.16 and 896.36 is: 1,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.62 : 2,214.16 = 896.36 : x
  2. Step 2: Convert to fraction form
    1,604.62/2,214.16 = 896.36/x
  3. Step 3: Cross multiply
    1,604.62x = 2,214.16 × 896.36
  4. Step 4: Simplify right side
    1,604.62x = 1,984,671.15
  5. Step 5: Solve for x
    x = 1,984,671.15/1,604.62
  6. Step 6: Final answer
    x = 1,236.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.