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Finding the Fourth Proportional to 3,193.20, 4,784.28 and 2,264.22

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Solution

The fourth proportional to 3,193.20, 4,784.28 and 2,264.22 is: 3,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.20 : 4,784.28 = 2,264.22 : x
  2. Step 2: Convert to fraction form
    3,193.20/4,784.28 = 2,264.22/x
  3. Step 3: Cross multiply
    3,193.20x = 4,784.28 × 2,264.22
  4. Step 4: Simplify right side
    3,193.20x = 10,832,662.46
  5. Step 5: Solve for x
    x = 10,832,662.46/3,193.20
  6. Step 6: Final answer
    x = 3,392.42

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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.