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Finding the Fourth Proportional to 2,295.15, 3,169.95 and 1,824.54

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Solution

The fourth proportional to 2,295.15, 3,169.95 and 1,824.54 is: 2,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.15 : 3,169.95 = 1,824.54 : x
  2. Step 2: Convert to fraction form
    2,295.15/3,169.95 = 1,824.54/x
  3. Step 3: Cross multiply
    2,295.15x = 3,169.95 × 1,824.54
  4. Step 4: Simplify right side
    2,295.15x = 5,783,700.57
  5. Step 5: Solve for x
    x = 5,783,700.57/2,295.15
  6. Step 6: Final answer
    x = 2,519.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.