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Finding the Fourth Proportional to 2,201.68, 3,302.52 and 969.08

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Solution

The fourth proportional to 2,201.68, 3,302.52 and 969.08 is: 1,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.68 : 3,302.52 = 969.08 : x
  2. Step 2: Convert to fraction form
    2,201.68/3,302.52 = 969.08/x
  3. Step 3: Cross multiply
    2,201.68x = 3,302.52 × 969.08
  4. Step 4: Simplify right side
    2,201.68x = 3,200,406.08
  5. Step 5: Solve for x
    x = 3,200,406.08/2,201.68
  6. Step 6: Final answer
    x = 1,453.62

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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.