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Finding the Fourth Proportional to 3,264.36, 4,504.86 and 1,772.30

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Solution

The fourth proportional to 3,264.36, 4,504.86 and 1,772.30 is: 2,445.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.36 : 4,504.86 = 1,772.30 : x
  2. Step 2: Convert to fraction form
    3,264.36/4,504.86 = 1,772.30/x
  3. Step 3: Cross multiply
    3,264.36x = 4,504.86 × 1,772.30
  4. Step 4: Simplify right side
    3,264.36x = 7,983,940.85
  5. Step 5: Solve for x
    x = 7,983,940.85/3,264.36
  6. Step 6: Final answer
    x = 2,445.79

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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.