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Finding the Fourth Proportional to 2,717.76, 4,080.62 and 1,682.17

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Solution

The fourth proportional to 2,717.76, 4,080.62 and 1,682.17 is: 2,525.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.76 : 4,080.62 = 1,682.17 : x
  2. Step 2: Convert to fraction form
    2,717.76/4,080.62 = 1,682.17/x
  3. Step 3: Cross multiply
    2,717.76x = 4,080.62 × 1,682.17
  4. Step 4: Simplify right side
    2,717.76x = 6,864,296.55
  5. Step 5: Solve for x
    x = 6,864,296.55/2,717.76
  6. Step 6: Final answer
    x = 2,525.72

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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.