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Finding the Fourth Proportional to 2,744.96, 4,117.44 and 2,333.12

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Solution

The fourth proportional to 2,744.96, 4,117.44 and 2,333.12 is: 3,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.96 : 4,117.44 = 2,333.12 : x
  2. Step 2: Convert to fraction form
    2,744.96/4,117.44 = 2,333.12/x
  3. Step 3: Cross multiply
    2,744.96x = 4,117.44 × 2,333.12
  4. Step 4: Simplify right side
    2,744.96x = 9,606,481.61
  5. Step 5: Solve for x
    x = 9,606,481.61/2,744.96
  6. Step 6: Final answer
    x = 3,499.68

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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.