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Finding the Fourth Proportional to 2,698.38, 3,723.71 and 1,563.62

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Solution

The fourth proportional to 2,698.38, 3,723.71 and 1,563.62 is: 2,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.38 : 3,723.71 = 1,563.62 : x
  2. Step 2: Convert to fraction form
    2,698.38/3,723.71 = 1,563.62/x
  3. Step 3: Cross multiply
    2,698.38x = 3,723.71 × 1,563.62
  4. Step 4: Simplify right side
    2,698.38x = 5,822,440.99
  5. Step 5: Solve for x
    x = 5,822,440.99/2,698.38
  6. Step 6: Final answer
    x = 2,157.75

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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.