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Finding the Fourth Proportional to 2,441.92, 3,369.75 and 1,433.49

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Solution

The fourth proportional to 2,441.92, 3,369.75 and 1,433.49 is: 1,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.92 : 3,369.75 = 1,433.49 : x
  2. Step 2: Convert to fraction form
    2,441.92/3,369.75 = 1,433.49/x
  3. Step 3: Cross multiply
    2,441.92x = 3,369.75 × 1,433.49
  4. Step 4: Simplify right side
    2,441.92x = 4,830,478.91
  5. Step 5: Solve for x
    x = 4,830,478.91/2,441.92
  6. Step 6: Final answer
    x = 1,978.15

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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.