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Finding the Fourth Proportional to 1,596.73, 2,394.79 and 671.92

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Solution

The fourth proportional to 1,596.73, 2,394.79 and 671.92 is: 1,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.73 : 2,394.79 = 671.92 : x
  2. Step 2: Convert to fraction form
    1,596.73/2,394.79 = 671.92/x
  3. Step 3: Cross multiply
    1,596.73x = 2,394.79 × 671.92
  4. Step 4: Simplify right side
    1,596.73x = 1,609,107.30
  5. Step 5: Solve for x
    x = 1,609,107.30/1,596.73
  6. Step 6: Final answer
    x = 1,007.75

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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.