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Finding the Fourth Proportional to 2,241.52, 3,358.82 and 1,201.66

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Solution

The fourth proportional to 2,241.52, 3,358.82 and 1,201.66 is: 1,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.52 : 3,358.82 = 1,201.66 : x
  2. Step 2: Convert to fraction form
    2,241.52/3,358.82 = 1,201.66/x
  3. Step 3: Cross multiply
    2,241.52x = 3,358.82 × 1,201.66
  4. Step 4: Simplify right side
    2,241.52x = 4,036,159.64
  5. Step 5: Solve for x
    x = 4,036,159.64/2,241.52
  6. Step 6: Final answer
    x = 1,800.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.