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Finding the Fourth Proportional to 1,908.30, 2,861.18 and 812.36

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Solution

The fourth proportional to 1,908.30, 2,861.18 and 812.36 is: 1,218.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.30 : 2,861.18 = 812.36 : x
  2. Step 2: Convert to fraction form
    1,908.30/2,861.18 = 812.36/x
  3. Step 3: Cross multiply
    1,908.30x = 2,861.18 × 812.36
  4. Step 4: Simplify right side
    1,908.30x = 2,324,308.18
  5. Step 5: Solve for x
    x = 2,324,308.18/1,908.30
  6. Step 6: Final answer
    x = 1,218.00

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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.