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Finding the Fourth Proportional to 2,452.72, 3,679.02 and 1,356.52

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Solution

The fourth proportional to 2,452.72, 3,679.02 and 1,356.52 is: 2,034.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.72 : 3,679.02 = 1,356.52 : x
  2. Step 2: Convert to fraction form
    2,452.72/3,679.02 = 1,356.52/x
  3. Step 3: Cross multiply
    2,452.72x = 3,679.02 × 1,356.52
  4. Step 4: Simplify right side
    2,452.72x = 4,990,664.21
  5. Step 5: Solve for x
    x = 4,990,664.21/2,452.72
  6. Step 6: Final answer
    x = 2,034.75

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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.