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Finding the Fourth Proportional to 2,740.99, 4,107.38 and 1,644.15

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Solution

The fourth proportional to 2,740.99, 4,107.38 and 1,644.15 is: 2,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.99 : 4,107.38 = 1,644.15 : x
  2. Step 2: Convert to fraction form
    2,740.99/4,107.38 = 1,644.15/x
  3. Step 3: Cross multiply
    2,740.99x = 4,107.38 × 1,644.15
  4. Step 4: Simplify right side
    2,740.99x = 6,753,148.83
  5. Step 5: Solve for x
    x = 6,753,148.83/2,740.99
  6. Step 6: Final answer
    x = 2,463.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.