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Finding the Fourth Proportional to 2,861.70, 3,949.77 and 1,683.45

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Solution

The fourth proportional to 2,861.70, 3,949.77 and 1,683.45 is: 2,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.70 : 3,949.77 = 1,683.45 : x
  2. Step 2: Convert to fraction form
    2,861.70/3,949.77 = 1,683.45/x
  3. Step 3: Cross multiply
    2,861.70x = 3,949.77 × 1,683.45
  4. Step 4: Simplify right side
    2,861.70x = 6,649,240.31
  5. Step 5: Solve for x
    x = 6,649,240.31/2,861.70
  6. Step 6: Final answer
    x = 2,323.53

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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.