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Finding the Fourth Proportional to 2,537.70, 3,801.03 and 1,610.94

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Solution

The fourth proportional to 2,537.70, 3,801.03 and 1,610.94 is: 2,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.70 : 3,801.03 = 1,610.94 : x
  2. Step 2: Convert to fraction form
    2,537.70/3,801.03 = 1,610.94/x
  3. Step 3: Cross multiply
    2,537.70x = 3,801.03 × 1,610.94
  4. Step 4: Simplify right side
    2,537.70x = 6,123,231.27
  5. Step 5: Solve for x
    x = 6,123,231.27/2,537.70
  6. Step 6: Final answer
    x = 2,412.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.