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Finding the Fourth Proportional to 2,252.18, 3,378.25 and 771.41

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Solution

The fourth proportional to 2,252.18, 3,378.25 and 771.41 is: 1,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.18 : 3,378.25 = 771.41 : x
  2. Step 2: Convert to fraction form
    2,252.18/3,378.25 = 771.41/x
  3. Step 3: Cross multiply
    2,252.18x = 3,378.25 × 771.41
  4. Step 4: Simplify right side
    2,252.18x = 2,605,997.01
  5. Step 5: Solve for x
    x = 2,605,997.01/2,252.18
  6. Step 6: Final answer
    x = 1,157.10

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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.