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Finding the Fourth Proportional to 1,732.38, 2,596.89 and 691.62

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Solution

The fourth proportional to 1,732.38, 2,596.89 and 691.62 is: 1,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.38 : 2,596.89 = 691.62 : x
  2. Step 2: Convert to fraction form
    1,732.38/2,596.89 = 691.62/x
  3. Step 3: Cross multiply
    1,732.38x = 2,596.89 × 691.62
  4. Step 4: Simplify right side
    1,732.38x = 1,796,061.06
  5. Step 5: Solve for x
    x = 1,796,061.06/1,732.38
  6. Step 6: Final answer
    x = 1,036.76

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