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Finding the Fourth Proportional to 2,754.08, 4,131.12 and 1,216.16

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Solution

The fourth proportional to 2,754.08, 4,131.12 and 1,216.16 is: 1,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.08 : 4,131.12 = 1,216.16 : x
  2. Step 2: Convert to fraction form
    2,754.08/4,131.12 = 1,216.16/x
  3. Step 3: Cross multiply
    2,754.08x = 4,131.12 × 1,216.16
  4. Step 4: Simplify right side
    2,754.08x = 5,024,102.90
  5. Step 5: Solve for x
    x = 5,024,102.90/2,754.08
  6. Step 6: Final answer
    x = 1,824.24

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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.