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Finding the Fourth Proportional to 2,936.92, 4,053.01 and 1,610.59

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Solution

The fourth proportional to 2,936.92, 4,053.01 and 1,610.59 is: 2,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.92 : 4,053.01 = 1,610.59 : x
  2. Step 2: Convert to fraction form
    2,936.92/4,053.01 = 1,610.59/x
  3. Step 3: Cross multiply
    2,936.92x = 4,053.01 × 1,610.59
  4. Step 4: Simplify right side
    2,936.92x = 6,527,737.38
  5. Step 5: Solve for x
    x = 6,527,737.38/2,936.92
  6. Step 6: Final answer
    x = 2,222.65

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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.