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Finding the Fourth Proportional to 2,711.87, 3,742.33 and 1,516.87

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Solution

The fourth proportional to 2,711.87, 3,742.33 and 1,516.87 is: 2,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.87 : 3,742.33 = 1,516.87 : x
  2. Step 2: Convert to fraction form
    2,711.87/3,742.33 = 1,516.87/x
  3. Step 3: Cross multiply
    2,711.87x = 3,742.33 × 1,516.87
  4. Step 4: Simplify right side
    2,711.87x = 5,676,628.11
  5. Step 5: Solve for x
    x = 5,676,628.11/2,711.87
  6. Step 6: Final answer
    x = 2,093.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.