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Finding the Fourth Proportional to 1,694.91, 2,529.96 and 1,565.73

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Solution

The fourth proportional to 1,694.91, 2,529.96 and 1,565.73 is: 2,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.91 : 2,529.96 = 1,565.73 : x
  2. Step 2: Convert to fraction form
    1,694.91/2,529.96 = 1,565.73/x
  3. Step 3: Cross multiply
    1,694.91x = 2,529.96 × 1,565.73
  4. Step 4: Simplify right side
    1,694.91x = 3,961,234.27
  5. Step 5: Solve for x
    x = 3,961,234.27/1,694.91
  6. Step 6: Final answer
    x = 2,337.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.