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Finding the Fourth Proportional to 2,963.22, 4,445.09 and 771.95

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Solution

The fourth proportional to 2,963.22, 4,445.09 and 771.95 is: 1,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.22 : 4,445.09 = 771.95 : x
  2. Step 2: Convert to fraction form
    2,963.22/4,445.09 = 771.95/x
  3. Step 3: Cross multiply
    2,963.22x = 4,445.09 × 771.95
  4. Step 4: Simplify right side
    2,963.22x = 3,431,387.23
  5. Step 5: Solve for x
    x = 3,431,387.23/2,963.22
  6. Step 6: Final answer
    x = 1,157.99

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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.