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Finding the Fourth Proportional to 2,349.75, 3,229.43 and 2,284.14

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Solution

The fourth proportional to 2,349.75, 3,229.43 and 2,284.14 is: 3,139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.75 : 3,229.43 = 2,284.14 : x
  2. Step 2: Convert to fraction form
    2,349.75/3,229.43 = 2,284.14/x
  3. Step 3: Cross multiply
    2,349.75x = 3,229.43 × 2,284.14
  4. Step 4: Simplify right side
    2,349.75x = 7,376,458.82
  5. Step 5: Solve for x
    x = 7,376,458.82/2,349.75
  6. Step 6: Final answer
    x = 3,139.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.