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Finding the Fourth Proportional to 2,544.96, 3,816.24 and 900.96

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Solution

The fourth proportional to 2,544.96, 3,816.24 and 900.96 is: 1,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.96 : 3,816.24 = 900.96 : x
  2. Step 2: Convert to fraction form
    2,544.96/3,816.24 = 900.96/x
  3. Step 3: Cross multiply
    2,544.96x = 3,816.24 × 900.96
  4. Step 4: Simplify right side
    2,544.96x = 3,438,279.59
  5. Step 5: Solve for x
    x = 3,438,279.59/2,544.96
  6. Step 6: Final answer
    x = 1,351.02

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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.