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Finding the Fourth Proportional to 2,965.19, 4,092.46 and 2,007.68

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Solution

The fourth proportional to 2,965.19, 4,092.46 and 2,007.68 is: 2,770.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.19 : 4,092.46 = 2,007.68 : x
  2. Step 2: Convert to fraction form
    2,965.19/4,092.46 = 2,007.68/x
  3. Step 3: Cross multiply
    2,965.19x = 4,092.46 × 2,007.68
  4. Step 4: Simplify right side
    2,965.19x = 8,216,324.61
  5. Step 5: Solve for x
    x = 8,216,324.61/2,965.19
  6. Step 6: Final answer
    x = 2,770.93

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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.