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Finding the Fourth Proportional to 1,956.22, 2,693.46 and 1,660.84

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Solution

The fourth proportional to 1,956.22, 2,693.46 and 1,660.84 is: 2,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.22 : 2,693.46 = 1,660.84 : x
  2. Step 2: Convert to fraction form
    1,956.22/2,693.46 = 1,660.84/x
  3. Step 3: Cross multiply
    1,956.22x = 2,693.46 × 1,660.84
  4. Step 4: Simplify right side
    1,956.22x = 4,473,406.11
  5. Step 5: Solve for x
    x = 4,473,406.11/1,956.22
  6. Step 6: Final answer
    x = 2,286.76

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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.