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Finding the Fourth Proportional to 2,305.39, 3,449.86 and 1,846.12

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Solution

The fourth proportional to 2,305.39, 3,449.86 and 1,846.12 is: 2,762.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.39 : 3,449.86 = 1,846.12 : x
  2. Step 2: Convert to fraction form
    2,305.39/3,449.86 = 1,846.12/x
  3. Step 3: Cross multiply
    2,305.39x = 3,449.86 × 1,846.12
  4. Step 4: Simplify right side
    2,305.39x = 6,368,855.54
  5. Step 5: Solve for x
    x = 6,368,855.54/2,305.39
  6. Step 6: Final answer
    x = 2,762.59

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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.