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Finding the Fourth Proportional to 2,861.52, 3,947.40 and 2,161.68

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Solution

The fourth proportional to 2,861.52, 3,947.40 and 2,161.68 is: 2,981.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.52 : 3,947.40 = 2,161.68 : x
  2. Step 2: Convert to fraction form
    2,861.52/3,947.40 = 2,161.68/x
  3. Step 3: Cross multiply
    2,861.52x = 3,947.40 × 2,161.68
  4. Step 4: Simplify right side
    2,861.52x = 8,533,015.63
  5. Step 5: Solve for x
    x = 8,533,015.63/2,861.52
  6. Step 6: Final answer
    x = 2,981.99

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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.