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Finding the Fourth Proportional to 2,452.02, 3,653.24 and 2,328.09

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Solution

The fourth proportional to 2,452.02, 3,653.24 and 2,328.09 is: 3,468.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.02 : 3,653.24 = 2,328.09 : x
  2. Step 2: Convert to fraction form
    2,452.02/3,653.24 = 2,328.09/x
  3. Step 3: Cross multiply
    2,452.02x = 3,653.24 × 2,328.09
  4. Step 4: Simplify right side
    2,452.02x = 8,505,059.87
  5. Step 5: Solve for x
    x = 8,505,059.87/2,452.02
  6. Step 6: Final answer
    x = 3,468.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.