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Finding the Fourth Proportional to 2,441.69, 3,662.49 and 592.82

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Solution

The fourth proportional to 2,441.69, 3,662.49 and 592.82 is: 889.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.69 : 3,662.49 = 592.82 : x
  2. Step 2: Convert to fraction form
    2,441.69/3,662.49 = 592.82/x
  3. Step 3: Cross multiply
    2,441.69x = 3,662.49 × 592.82
  4. Step 4: Simplify right side
    2,441.69x = 2,171,179.01
  5. Step 5: Solve for x
    x = 2,171,179.01/2,441.69
  6. Step 6: Final answer
    x = 889.21

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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.