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Finding the Fourth Proportional to 2,861.72, 3,949.36 and 1,683

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Solution

The fourth proportional to 2,861.72, 3,949.36 and 1,683 is: 2,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.72 : 3,949.36 = 1,683 : x
  2. Step 2: Convert to fraction form
    2,861.72/3,949.36 = 1,683/x
  3. Step 3: Cross multiply
    2,861.72x = 3,949.36 × 1,683
  4. Step 4: Simplify right side
    2,861.72x = 6,646,772.88
  5. Step 5: Solve for x
    x = 6,646,772.88/2,861.72
  6. Step 6: Final answer
    x = 2,322.65

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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.