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Finding the Fourth Proportional to 2,544.38, 3,816.09 and 900.89

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Solution

The fourth proportional to 2,544.38, 3,816.09 and 900.89 is: 1,351.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.38 : 3,816.09 = 900.89 : x
  2. Step 2: Convert to fraction form
    2,544.38/3,816.09 = 900.89/x
  3. Step 3: Cross multiply
    2,544.38x = 3,816.09 × 900.89
  4. Step 4: Simplify right side
    2,544.38x = 3,437,877.32
  5. Step 5: Solve for x
    x = 3,437,877.32/2,544.38
  6. Step 6: Final answer
    x = 1,351.17

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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.