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Finding the Fourth Proportional to 1,613.56, 2,227.53 and 1,516.36

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Solution

The fourth proportional to 1,613.56, 2,227.53 and 1,516.36 is: 2,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.56 : 2,227.53 = 1,516.36 : x
  2. Step 2: Convert to fraction form
    1,613.56/2,227.53 = 1,516.36/x
  3. Step 3: Cross multiply
    1,613.56x = 2,227.53 × 1,516.36
  4. Step 4: Simplify right side
    1,613.56x = 3,377,737.39
  5. Step 5: Solve for x
    x = 3,377,737.39/1,613.56
  6. Step 6: Final answer
    x = 2,093.34

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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.