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Finding the Fourth Proportional to 2,709.12, 3,738.62 and 1,467.12

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Solution

The fourth proportional to 2,709.12, 3,738.62 and 1,467.12 is: 2,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.12 : 3,738.62 = 1,467.12 : x
  2. Step 2: Convert to fraction form
    2,709.12/3,738.62 = 1,467.12/x
  3. Step 3: Cross multiply
    2,709.12x = 3,738.62 × 1,467.12
  4. Step 4: Simplify right side
    2,709.12x = 5,485,004.17
  5. Step 5: Solve for x
    x = 5,485,004.17/2,709.12
  6. Step 6: Final answer
    x = 2,024.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.