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Finding the Fourth Proportional to 2,698.16, 3,723.13 and 1,563.82

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Solution

The fourth proportional to 2,698.16, 3,723.13 and 1,563.82 is: 2,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.16 : 3,723.13 = 1,563.82 : x
  2. Step 2: Convert to fraction form
    2,698.16/3,723.13 = 1,563.82/x
  3. Step 3: Cross multiply
    2,698.16x = 3,723.13 × 1,563.82
  4. Step 4: Simplify right side
    2,698.16x = 5,822,310.55
  5. Step 5: Solve for x
    x = 5,822,310.55/2,698.16
  6. Step 6: Final answer
    x = 2,157.88

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