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Finding the Fourth Proportional to 2,254.91, 3,382.90 and 694.98

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Solution

The fourth proportional to 2,254.91, 3,382.90 and 694.98 is: 1,042.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.91 : 3,382.90 = 694.98 : x
  2. Step 2: Convert to fraction form
    2,254.91/3,382.90 = 694.98/x
  3. Step 3: Cross multiply
    2,254.91x = 3,382.90 × 694.98
  4. Step 4: Simplify right side
    2,254.91x = 2,351,046.10
  5. Step 5: Solve for x
    x = 2,351,046.10/2,254.91
  6. Step 6: Final answer
    x = 1,042.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.