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Finding the Fourth Proportional to 1,909.52, 2,861.57 and 812.78

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Solution

The fourth proportional to 1,909.52, 2,861.57 and 812.78 is: 1,218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.52 : 2,861.57 = 812.78 : x
  2. Step 2: Convert to fraction form
    1,909.52/2,861.57 = 812.78/x
  3. Step 3: Cross multiply
    1,909.52x = 2,861.57 × 812.78
  4. Step 4: Simplify right side
    1,909.52x = 2,325,812.56
  5. Step 5: Solve for x
    x = 2,325,812.56/1,909.52
  6. Step 6: Final answer
    x = 1,218.01

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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.