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Finding the Fourth Proportional to 2,711.68, 3,742.34 and 1,516.93

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Solution

The fourth proportional to 2,711.68, 3,742.34 and 1,516.93 is: 2,093.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.68 : 3,742.34 = 1,516.93 : x
  2. Step 2: Convert to fraction form
    2,711.68/3,742.34 = 1,516.93/x
  3. Step 3: Cross multiply
    2,711.68x = 3,742.34 × 1,516.93
  4. Step 4: Simplify right side
    2,711.68x = 5,676,850.88
  5. Step 5: Solve for x
    x = 5,676,850.88/2,711.68
  6. Step 6: Final answer
    x = 2,093.48

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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.