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Finding the Fourth Proportional to 2,861.41, 3,946.18 and 1,964.74

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Solution

The fourth proportional to 2,861.41, 3,946.18 and 1,964.74 is: 2,709.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.41 : 3,946.18 = 1,964.74 : x
  2. Step 2: Convert to fraction form
    2,861.41/3,946.18 = 1,964.74/x
  3. Step 3: Cross multiply
    2,861.41x = 3,946.18 × 1,964.74
  4. Step 4: Simplify right side
    2,861.41x = 7,753,217.69
  5. Step 5: Solve for x
    x = 7,753,217.69/2,861.41
  6. Step 6: Final answer
    x = 2,709.58

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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.