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Finding the Fourth Proportional to 2,399.12, 3,593.08 and 1,846.92

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Solution

The fourth proportional to 2,399.12, 3,593.08 and 1,846.92 is: 2,766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.12 : 3,593.08 = 1,846.92 : x
  2. Step 2: Convert to fraction form
    2,399.12/3,593.08 = 1,846.92/x
  3. Step 3: Cross multiply
    2,399.12x = 3,593.08 × 1,846.92
  4. Step 4: Simplify right side
    2,399.12x = 6,636,131.31
  5. Step 5: Solve for x
    x = 6,636,131.31/2,399.12
  6. Step 6: Final answer
    x = 2,766.07

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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.