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Finding the Fourth Proportional to 2,282.22, 3,423.63 and 801.75

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Solution

The fourth proportional to 2,282.22, 3,423.63 and 801.75 is: 1,202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.22 : 3,423.63 = 801.75 : x
  2. Step 2: Convert to fraction form
    2,282.22/3,423.63 = 801.75/x
  3. Step 3: Cross multiply
    2,282.22x = 3,423.63 × 801.75
  4. Step 4: Simplify right side
    2,282.22x = 2,744,895.35
  5. Step 5: Solve for x
    x = 2,744,895.35/2,282.22
  6. Step 6: Final answer
    x = 1,202.73

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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.