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Finding the Fourth Proportional to 2,844.80, 4,267.50 and 1,201.13

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Solution

The fourth proportional to 2,844.80, 4,267.50 and 1,201.13 is: 1,801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.80 : 4,267.50 = 1,201.13 : x
  2. Step 2: Convert to fraction form
    2,844.80/4,267.50 = 1,201.13/x
  3. Step 3: Cross multiply
    2,844.80x = 4,267.50 × 1,201.13
  4. Step 4: Simplify right side
    2,844.80x = 5,125,822.28
  5. Step 5: Solve for x
    x = 5,125,822.28/2,844.80
  6. Step 6: Final answer
    x = 1,801.82

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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.