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Finding the Fourth Proportional to 2,456.04, 3,684 and 812.56

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Solution

The fourth proportional to 2,456.04, 3,684 and 812.56 is: 1,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.04 : 3,684 = 812.56 : x
  2. Step 2: Convert to fraction form
    2,456.04/3,684 = 812.56/x
  3. Step 3: Cross multiply
    2,456.04x = 3,684 × 812.56
  4. Step 4: Simplify right side
    2,456.04x = 2,993,471.04
  5. Step 5: Solve for x
    x = 2,993,471.04/2,456.04
  6. Step 6: Final answer
    x = 1,218.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.