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Finding the Fourth Proportional to 2,201.88, 3,302.90 and 968.66

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Solution

The fourth proportional to 2,201.88, 3,302.90 and 968.66 is: 1,453.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.88 : 3,302.90 = 968.66 : x
  2. Step 2: Convert to fraction form
    2,201.88/3,302.90 = 968.66/x
  3. Step 3: Cross multiply
    2,201.88x = 3,302.90 × 968.66
  4. Step 4: Simplify right side
    2,201.88x = 3,199,387.11
  5. Step 5: Solve for x
    x = 3,199,387.11/2,201.88
  6. Step 6: Final answer
    x = 1,453.03

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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.