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Finding the Fourth Proportional to 2,682.48, 3,702.20 and 1,563.78

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Solution

The fourth proportional to 2,682.48, 3,702.20 and 1,563.78 is: 2,158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.48 : 3,702.20 = 1,563.78 : x
  2. Step 2: Convert to fraction form
    2,682.48/3,702.20 = 1,563.78/x
  3. Step 3: Cross multiply
    2,682.48x = 3,702.20 × 1,563.78
  4. Step 4: Simplify right side
    2,682.48x = 5,789,426.32
  5. Step 5: Solve for x
    x = 5,789,426.32/2,682.48
  6. Step 6: Final answer
    x = 2,158.24

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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.