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Finding the Fourth Proportional to 2,761.01, 3,810.16 and 1,502.09

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Solution

The fourth proportional to 2,761.01, 3,810.16 and 1,502.09 is: 2,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.01 : 3,810.16 = 1,502.09 : x
  2. Step 2: Convert to fraction form
    2,761.01/3,810.16 = 1,502.09/x
  3. Step 3: Cross multiply
    2,761.01x = 3,810.16 × 1,502.09
  4. Step 4: Simplify right side
    2,761.01x = 5,723,180.43
  5. Step 5: Solve for x
    x = 5,723,180.43/2,761.01
  6. Step 6: Final answer
    x = 2,072.86

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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.