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Finding the Fourth Proportional to 3,138.31, 4,329.50 and 1,942.98

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Solution

The fourth proportional to 3,138.31, 4,329.50 and 1,942.98 is: 2,680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.31 : 4,329.50 = 1,942.98 : x
  2. Step 2: Convert to fraction form
    3,138.31/4,329.50 = 1,942.98/x
  3. Step 3: Cross multiply
    3,138.31x = 4,329.50 × 1,942.98
  4. Step 4: Simplify right side
    3,138.31x = 8,412,111.42
  5. Step 5: Solve for x
    x = 8,412,111.42/3,138.31
  6. Step 6: Final answer
    x = 2,680.46

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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.