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Finding the Fourth Proportional to 2,861.66, 3,947.93 and 1,741.70

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Solution

The fourth proportional to 2,861.66, 3,947.93 and 1,741.70 is: 2,402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.66 : 3,947.93 = 1,741.70 : x
  2. Step 2: Convert to fraction form
    2,861.66/3,947.93 = 1,741.70/x
  3. Step 3: Cross multiply
    2,861.66x = 3,947.93 × 1,741.70
  4. Step 4: Simplify right side
    2,861.66x = 6,876,109.68
  5. Step 5: Solve for x
    x = 6,876,109.68/2,861.66
  6. Step 6: Final answer
    x = 2,402.84

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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.