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Finding the Fourth Proportional to 2,201.52, 3,301.50 and 884.64

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Solution

The fourth proportional to 2,201.52, 3,301.50 and 884.64 is: 1,326.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.52 : 3,301.50 = 884.64 : x
  2. Step 2: Convert to fraction form
    2,201.52/3,301.50 = 884.64/x
  3. Step 3: Cross multiply
    2,201.52x = 3,301.50 × 884.64
  4. Step 4: Simplify right side
    2,201.52x = 2,920,638.96
  5. Step 5: Solve for x
    x = 2,920,638.96/2,201.52
  6. Step 6: Final answer
    x = 1,326.65

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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.