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Finding the Fourth Proportional to 3,264.25, 4,504.69 and 1,772.20

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Solution

The fourth proportional to 3,264.25, 4,504.69 and 1,772.20 is: 2,445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.25 : 4,504.69 = 1,772.20 : x
  2. Step 2: Convert to fraction form
    3,264.25/4,504.69 = 1,772.20/x
  3. Step 3: Cross multiply
    3,264.25x = 4,504.69 × 1,772.20
  4. Step 4: Simplify right side
    3,264.25x = 7,983,211.62
  5. Step 5: Solve for x
    x = 7,983,211.62/3,264.25
  6. Step 6: Final answer
    x = 2,445.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.