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Finding the Fourth Proportional to 2,101.62, 2,900.22 and 1,217.28

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Solution

The fourth proportional to 2,101.62, 2,900.22 and 1,217.28 is: 1,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.62 : 2,900.22 = 1,217.28 : x
  2. Step 2: Convert to fraction form
    2,101.62/2,900.22 = 1,217.28/x
  3. Step 3: Cross multiply
    2,101.62x = 2,900.22 × 1,217.28
  4. Step 4: Simplify right side
    2,101.62x = 3,530,379.80
  5. Step 5: Solve for x
    x = 3,530,379.80/2,101.62
  6. Step 6: Final answer
    x = 1,679.84

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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.