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Finding the Fourth Proportional to 2,781.93, 4,173.45 and 1,546.68

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Solution

The fourth proportional to 2,781.93, 4,173.45 and 1,546.68 is: 2,320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.93 : 4,173.45 = 1,546.68 : x
  2. Step 2: Convert to fraction form
    2,781.93/4,173.45 = 1,546.68/x
  3. Step 3: Cross multiply
    2,781.93x = 4,173.45 × 1,546.68
  4. Step 4: Simplify right side
    2,781.93x = 6,454,991.65
  5. Step 5: Solve for x
    x = 6,454,991.65/2,781.93
  6. Step 6: Final answer
    x = 2,320.33

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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.