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Finding the Fourth Proportional to 3,022.48, 4,524 and 2,698.48

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Solution

The fourth proportional to 3,022.48, 4,524 and 2,698.48 is: 4,039.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.48 : 4,524 = 2,698.48 : x
  2. Step 2: Convert to fraction form
    3,022.48/4,524 = 2,698.48/x
  3. Step 3: Cross multiply
    3,022.48x = 4,524 × 2,698.48
  4. Step 4: Simplify right side
    3,022.48x = 12,207,923.52
  5. Step 5: Solve for x
    x = 12,207,923.52/3,022.48
  6. Step 6: Final answer
    x = 4,039.04

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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.