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Finding the Fourth Proportional to 2,201.58, 3,301.50 and 968.34

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Solution

The fourth proportional to 2,201.58, 3,301.50 and 968.34 is: 1,452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.58 : 3,301.50 = 968.34 : x
  2. Step 2: Convert to fraction form
    2,201.58/3,301.50 = 968.34/x
  3. Step 3: Cross multiply
    2,201.58x = 3,301.50 × 968.34
  4. Step 4: Simplify right side
    2,201.58x = 3,196,974.51
  5. Step 5: Solve for x
    x = 3,196,974.51/2,201.58
  6. Step 6: Final answer
    x = 1,452.13

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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.