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Finding the Fourth Proportional to 3,123.82, 4,309 and 2,061.22

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Solution

The fourth proportional to 3,123.82, 4,309 and 2,061.22 is: 2,843.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.82 : 4,309 = 2,061.22 : x
  2. Step 2: Convert to fraction form
    3,123.82/4,309 = 2,061.22/x
  3. Step 3: Cross multiply
    3,123.82x = 4,309 × 2,061.22
  4. Step 4: Simplify right side
    3,123.82x = 8,881,796.98
  5. Step 5: Solve for x
    x = 8,881,796.98/3,123.82
  6. Step 6: Final answer
    x = 2,843.25

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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.