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Finding the Fourth Proportional to 2,454.86, 3,682.47 and 812.57

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Solution

The fourth proportional to 2,454.86, 3,682.47 and 812.57 is: 1,218.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.86 : 3,682.47 = 812.57 : x
  2. Step 2: Convert to fraction form
    2,454.86/3,682.47 = 812.57/x
  3. Step 3: Cross multiply
    2,454.86x = 3,682.47 × 812.57
  4. Step 4: Simplify right side
    2,454.86x = 2,992,246.24
  5. Step 5: Solve for x
    x = 2,992,246.24/2,454.86
  6. Step 6: Final answer
    x = 1,218.91

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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.