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Finding the Fourth Proportional to 2,617.26, 3,924.90 and 1,317.84

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Solution

The fourth proportional to 2,617.26, 3,924.90 and 1,317.84 is: 1,976.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.26 : 3,924.90 = 1,317.84 : x
  2. Step 2: Convert to fraction form
    2,617.26/3,924.90 = 1,317.84/x
  3. Step 3: Cross multiply
    2,617.26x = 3,924.90 × 1,317.84
  4. Step 4: Simplify right side
    2,617.26x = 5,172,390.22
  5. Step 5: Solve for x
    x = 5,172,390.22/2,617.26
  6. Step 6: Final answer
    x = 1,976.26

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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.