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Finding the Fourth Proportional to 2,712.27, 3,741.50 and 1,715.82

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Solution

The fourth proportional to 2,712.27, 3,741.50 and 1,715.82 is: 2,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.27 : 3,741.50 = 1,715.82 : x
  2. Step 2: Convert to fraction form
    2,712.27/3,741.50 = 1,715.82/x
  3. Step 3: Cross multiply
    2,712.27x = 3,741.50 × 1,715.82
  4. Step 4: Simplify right side
    2,712.27x = 6,419,713.24
  5. Step 5: Solve for x
    x = 6,419,713.24/2,712.27
  6. Step 6: Final answer
    x = 2,366.92

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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.