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Finding the Fourth Proportional to 2,845, 4,267.98 and 896.82

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Solution

The fourth proportional to 2,845, 4,267.98 and 896.82 is: 1,345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845 : 4,267.98 = 896.82 : x
  2. Step 2: Convert to fraction form
    2,845/4,267.98 = 896.82/x
  3. Step 3: Cross multiply
    2,845x = 4,267.98 × 896.82
  4. Step 4: Simplify right side
    2,845x = 3,827,584.00
  5. Step 5: Solve for x
    x = 3,827,584.00/2,845
  6. Step 6: Final answer
    x = 1,345.37

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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.