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Finding the Fourth Proportional to 2,456.46, 3,684.06 and 812.52

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Solution

The fourth proportional to 2,456.46, 3,684.06 and 812.52 is: 1,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.46 : 3,684.06 = 812.52 : x
  2. Step 2: Convert to fraction form
    2,456.46/3,684.06 = 812.52/x
  3. Step 3: Cross multiply
    2,456.46x = 3,684.06 × 812.52
  4. Step 4: Simplify right side
    2,456.46x = 2,993,372.43
  5. Step 5: Solve for x
    x = 2,993,372.43/2,456.46
  6. Step 6: Final answer
    x = 1,218.57

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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.