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Finding the Fourth Proportional to 2,761.38, 3,810.75 and 1,502.46

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Solution

The fourth proportional to 2,761.38, 3,810.75 and 1,502.46 is: 2,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.38 : 3,810.75 = 1,502.46 : x
  2. Step 2: Convert to fraction form
    2,761.38/3,810.75 = 1,502.46/x
  3. Step 3: Cross multiply
    2,761.38x = 3,810.75 × 1,502.46
  4. Step 4: Simplify right side
    2,761.38x = 5,725,499.45
  5. Step 5: Solve for x
    x = 5,725,499.45/2,761.38
  6. Step 6: Final answer
    x = 2,073.42

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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.