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Finding the Fourth Proportional to 2,186.92, 3,281.52 and 801.20

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Solution

The fourth proportional to 2,186.92, 3,281.52 and 801.20 is: 1,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.92 : 3,281.52 = 801.20 : x
  2. Step 2: Convert to fraction form
    2,186.92/3,281.52 = 801.20/x
  3. Step 3: Cross multiply
    2,186.92x = 3,281.52 × 801.20
  4. Step 4: Simplify right side
    2,186.92x = 2,629,153.82
  5. Step 5: Solve for x
    x = 2,629,153.82/2,186.92
  6. Step 6: Final answer
    x = 1,202.22

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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.