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Finding the Fourth Proportional to 2,960.53, 4,086.83 and 1,966.66

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Solution

The fourth proportional to 2,960.53, 4,086.83 and 1,966.66 is: 2,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.53 : 4,086.83 = 1,966.66 : x
  2. Step 2: Convert to fraction form
    2,960.53/4,086.83 = 1,966.66/x
  3. Step 3: Cross multiply
    2,960.53x = 4,086.83 × 1,966.66
  4. Step 4: Simplify right side
    2,960.53x = 8,037,405.09
  5. Step 5: Solve for x
    x = 8,037,405.09/2,960.53
  6. Step 6: Final answer
    x = 2,714.85

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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.