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Finding the Fourth Proportional to 2,468.68, 3,704.02 and 1,081.28

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Solution

The fourth proportional to 2,468.68, 3,704.02 and 1,081.28 is: 1,622.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.68 : 3,704.02 = 1,081.28 : x
  2. Step 2: Convert to fraction form
    2,468.68/3,704.02 = 1,081.28/x
  3. Step 3: Cross multiply
    2,468.68x = 3,704.02 × 1,081.28
  4. Step 4: Simplify right side
    2,468.68x = 4,005,089.30
  5. Step 5: Solve for x
    x = 4,005,089.30/2,468.68
  6. Step 6: Final answer
    x = 1,622.36

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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.