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Finding the Fourth Proportional to 2,201.64, 3,302.64 and 1,105.44

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Solution

The fourth proportional to 2,201.64, 3,302.64 and 1,105.44 is: 1,658.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.64 : 3,302.64 = 1,105.44 : x
  2. Step 2: Convert to fraction form
    2,201.64/3,302.64 = 1,105.44/x
  3. Step 3: Cross multiply
    2,201.64x = 3,302.64 × 1,105.44
  4. Step 4: Simplify right side
    2,201.64x = 3,650,870.36
  5. Step 5: Solve for x
    x = 3,650,870.36/2,201.64
  6. Step 6: Final answer
    x = 1,658.25

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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.