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Finding the Fourth Proportional to 2,456.27, 3,682.98 and 812.37

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Solution

The fourth proportional to 2,456.27, 3,682.98 and 812.37 is: 1,218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.27 : 3,682.98 = 812.37 : x
  2. Step 2: Convert to fraction form
    2,456.27/3,682.98 = 812.37/x
  3. Step 3: Cross multiply
    2,456.27x = 3,682.98 × 812.37
  4. Step 4: Simplify right side
    2,456.27x = 2,991,938.40
  5. Step 5: Solve for x
    x = 2,991,938.40/2,456.27
  6. Step 6: Final answer
    x = 1,218.08

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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.