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Finding the Fourth Proportional to 2,771.76, 4,157.67 and 1,546.95

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Solution

The fourth proportional to 2,771.76, 4,157.67 and 1,546.95 is: 2,320.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.76 : 4,157.67 = 1,546.95 : x
  2. Step 2: Convert to fraction form
    2,771.76/4,157.67 = 1,546.95/x
  3. Step 3: Cross multiply
    2,771.76x = 4,157.67 × 1,546.95
  4. Step 4: Simplify right side
    2,771.76x = 6,431,707.61
  5. Step 5: Solve for x
    x = 6,431,707.61/2,771.76
  6. Step 6: Final answer
    x = 2,320.44

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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.