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Finding the Fourth Proportional to 2,544.82, 3,816.52 and 900.92

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Solution

The fourth proportional to 2,544.82, 3,816.52 and 900.92 is: 1,351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.82 : 3,816.52 = 900.92 : x
  2. Step 2: Convert to fraction form
    2,544.82/3,816.52 = 900.92/x
  3. Step 3: Cross multiply
    2,544.82x = 3,816.52 × 900.92
  4. Step 4: Simplify right side
    2,544.82x = 3,438,386.49
  5. Step 5: Solve for x
    x = 3,438,386.49/2,544.82
  6. Step 6: Final answer
    x = 1,351.13

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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.