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Finding the Fourth Proportional to 2,771.19, 4,157.42 and 922.91

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Solution

The fourth proportional to 2,771.19, 4,157.42 and 922.91 is: 1,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.19 : 4,157.42 = 922.91 : x
  2. Step 2: Convert to fraction form
    2,771.19/4,157.42 = 922.91/x
  3. Step 3: Cross multiply
    2,771.19x = 4,157.42 × 922.91
  4. Step 4: Simplify right side
    2,771.19x = 3,836,899.09
  5. Step 5: Solve for x
    x = 3,836,899.09/2,771.19
  6. Step 6: Final answer
    x = 1,384.57

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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.