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Finding the Fourth Proportional to 2,441.96, 3,662.93 and 593.09

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Solution

The fourth proportional to 2,441.96, 3,662.93 and 593.09 is: 889.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.96 : 3,662.93 = 593.09 : x
  2. Step 2: Convert to fraction form
    2,441.96/3,662.93 = 593.09/x
  3. Step 3: Cross multiply
    2,441.96x = 3,662.93 × 593.09
  4. Step 4: Simplify right side
    2,441.96x = 2,172,430.32
  5. Step 5: Solve for x
    x = 2,172,430.32/2,441.96
  6. Step 6: Final answer
    x = 889.62

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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.