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Finding the Fourth Proportional to 2,647.53, 3,967.25 and 1,415.12

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Solution

The fourth proportional to 2,647.53, 3,967.25 and 1,415.12 is: 2,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.53 : 3,967.25 = 1,415.12 : x
  2. Step 2: Convert to fraction form
    2,647.53/3,967.25 = 1,415.12/x
  3. Step 3: Cross multiply
    2,647.53x = 3,967.25 × 1,415.12
  4. Step 4: Simplify right side
    2,647.53x = 5,614,107.91
  5. Step 5: Solve for x
    x = 5,614,107.91/2,647.53
  6. Step 6: Final answer
    x = 2,120.51

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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.