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Finding the Fourth Proportional to 1,520.11, 2,277.73 and 871.30

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Solution

The fourth proportional to 1,520.11, 2,277.73 and 871.30 is: 1,305.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.11 : 2,277.73 = 871.30 : x
  2. Step 2: Convert to fraction form
    1,520.11/2,277.73 = 871.30/x
  3. Step 3: Cross multiply
    1,520.11x = 2,277.73 × 871.30
  4. Step 4: Simplify right side
    1,520.11x = 1,984,586.15
  5. Step 5: Solve for x
    x = 1,984,586.15/1,520.11
  6. Step 6: Final answer
    x = 1,305.55

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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.