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Finding the Fourth Proportional to 2,771.85, 4,158.72 and 923.16

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Solution

The fourth proportional to 2,771.85, 4,158.72 and 923.16 is: 1,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.85 : 4,158.72 = 923.16 : x
  2. Step 2: Convert to fraction form
    2,771.85/4,158.72 = 923.16/x
  3. Step 3: Cross multiply
    2,771.85x = 4,158.72 × 923.16
  4. Step 4: Simplify right side
    2,771.85x = 3,839,163.96
  5. Step 5: Solve for x
    x = 3,839,163.96/2,771.85
  6. Step 6: Final answer
    x = 1,385.05

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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.