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Finding the Fourth Proportional to 2,442.27, 3,369.72 and 1,447.50

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Solution

The fourth proportional to 2,442.27, 3,369.72 and 1,447.50 is: 1,997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.27 : 3,369.72 = 1,447.50 : x
  2. Step 2: Convert to fraction form
    2,442.27/3,369.72 = 1,447.50/x
  3. Step 3: Cross multiply
    2,442.27x = 3,369.72 × 1,447.50
  4. Step 4: Simplify right side
    2,442.27x = 4,877,669.70
  5. Step 5: Solve for x
    x = 4,877,669.70/2,442.27
  6. Step 6: Final answer
    x = 1,997.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.