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Finding the Fourth Proportional to 2,436.08, 3,651.56 and 896.24

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Solution

The fourth proportional to 2,436.08, 3,651.56 and 896.24 is: 1,343.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.08 : 3,651.56 = 896.24 : x
  2. Step 2: Convert to fraction form
    2,436.08/3,651.56 = 896.24/x
  3. Step 3: Cross multiply
    2,436.08x = 3,651.56 × 896.24
  4. Step 4: Simplify right side
    2,436.08x = 3,272,674.13
  5. Step 5: Solve for x
    x = 3,272,674.13/2,436.08
  6. Step 6: Final answer
    x = 1,343.42

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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.