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Finding the Fourth Proportional to 2,106.62, 2,908.17 and 1,633.44

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Solution

The fourth proportional to 2,106.62, 2,908.17 and 1,633.44 is: 2,254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.62 : 2,908.17 = 1,633.44 : x
  2. Step 2: Convert to fraction form
    2,106.62/2,908.17 = 1,633.44/x
  3. Step 3: Cross multiply
    2,106.62x = 2,908.17 × 1,633.44
  4. Step 4: Simplify right side
    2,106.62x = 4,750,321.20
  5. Step 5: Solve for x
    x = 4,750,321.20/2,106.62
  6. Step 6: Final answer
    x = 2,254.95

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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.