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Finding the Fourth Proportional to 1,694.88, 2,337.48 and 1,105.20

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Solution

The fourth proportional to 1,694.88, 2,337.48 and 1,105.20 is: 1,524.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.88 : 2,337.48 = 1,105.20 : x
  2. Step 2: Convert to fraction form
    1,694.88/2,337.48 = 1,105.20/x
  3. Step 3: Cross multiply
    1,694.88x = 2,337.48 × 1,105.20
  4. Step 4: Simplify right side
    1,694.88x = 2,583,382.90
  5. Step 5: Solve for x
    x = 2,583,382.90/1,694.88
  6. Step 6: Final answer
    x = 1,524.23

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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.