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Finding the Fourth Proportional to 2,761.14, 3,810.40 and 1,502.21

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Solution

The fourth proportional to 2,761.14, 3,810.40 and 1,502.21 is: 2,073.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.14 : 3,810.40 = 1,502.21 : x
  2. Step 2: Convert to fraction form
    2,761.14/3,810.40 = 1,502.21/x
  3. Step 3: Cross multiply
    2,761.14x = 3,810.40 × 1,502.21
  4. Step 4: Simplify right side
    2,761.14x = 5,724,020.98
  5. Step 5: Solve for x
    x = 5,724,020.98/2,761.14
  6. Step 6: Final answer
    x = 2,073.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.