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Finding the Fourth Proportional to 2,771.22, 4,153.69 and 921.90

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Solution

The fourth proportional to 2,771.22, 4,153.69 and 921.90 is: 1,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.22 : 4,153.69 = 921.90 : x
  2. Step 2: Convert to fraction form
    2,771.22/4,153.69 = 921.90/x
  3. Step 3: Cross multiply
    2,771.22x = 4,153.69 × 921.90
  4. Step 4: Simplify right side
    2,771.22x = 3,829,287.96
  5. Step 5: Solve for x
    x = 3,829,287.96/2,771.22
  6. Step 6: Final answer
    x = 1,381.81

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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.