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Finding the Fourth Proportional to 2,965.65, 4,092.79 and 1,706.86

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Solution

The fourth proportional to 2,965.65, 4,092.79 and 1,706.86 is: 2,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.65 : 4,092.79 = 1,706.86 : x
  2. Step 2: Convert to fraction form
    2,965.65/4,092.79 = 1,706.86/x
  3. Step 3: Cross multiply
    2,965.65x = 4,092.79 × 1,706.86
  4. Step 4: Simplify right side
    2,965.65x = 6,985,819.54
  5. Step 5: Solve for x
    x = 6,985,819.54/2,965.65
  6. Step 6: Final answer
    x = 2,355.58

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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.