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Finding the Fourth Proportional to 2,828.66, 4,241.42 and 2,247.38

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Solution

The fourth proportional to 2,828.66, 4,241.42 and 2,247.38 is: 3,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.66 : 4,241.42 = 2,247.38 : x
  2. Step 2: Convert to fraction form
    2,828.66/4,241.42 = 2,247.38/x
  3. Step 3: Cross multiply
    2,828.66x = 4,241.42 × 2,247.38
  4. Step 4: Simplify right side
    2,828.66x = 9,532,071.24
  5. Step 5: Solve for x
    x = 9,532,071.24/2,828.66
  6. Step 6: Final answer
    x = 3,369.82

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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.