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Finding the Fourth Proportional to 2,771.69, 4,157.06 and 922.59

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Solution

The fourth proportional to 2,771.69, 4,157.06 and 922.59 is: 1,383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.69 : 4,157.06 = 922.59 : x
  2. Step 2: Convert to fraction form
    2,771.69/4,157.06 = 922.59/x
  3. Step 3: Cross multiply
    2,771.69x = 4,157.06 × 922.59
  4. Step 4: Simplify right side
    2,771.69x = 3,835,257.37
  5. Step 5: Solve for x
    x = 3,835,257.37/2,771.69
  6. Step 6: Final answer
    x = 1,383.73

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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.