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Finding the Fourth Proportional to 2,305.65, 3,449.43 and 1,781.67

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Solution

The fourth proportional to 2,305.65, 3,449.43 and 1,781.67 is: 2,665.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.65 : 3,449.43 = 1,781.67 : x
  2. Step 2: Convert to fraction form
    2,305.65/3,449.43 = 1,781.67/x
  3. Step 3: Cross multiply
    2,305.65x = 3,449.43 × 1,781.67
  4. Step 4: Simplify right side
    2,305.65x = 6,145,745.95
  5. Step 5: Solve for x
    x = 6,145,745.95/2,305.65
  6. Step 6: Final answer
    x = 2,665.52

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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.