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Finding the Fourth Proportional to 1,563.91, 2,159.22 and 1,269.88

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Solution

The fourth proportional to 1,563.91, 2,159.22 and 1,269.88 is: 1,753.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.91 : 2,159.22 = 1,269.88 : x
  2. Step 2: Convert to fraction form
    1,563.91/2,159.22 = 1,269.88/x
  3. Step 3: Cross multiply
    1,563.91x = 2,159.22 × 1,269.88
  4. Step 4: Simplify right side
    1,563.91x = 2,741,952.99
  5. Step 5: Solve for x
    x = 2,741,952.99/1,563.91
  6. Step 6: Final answer
    x = 1,753.27

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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.