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Finding the Fourth Proportional to 2,101.57, 2,899.81 and 1,217.22

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Solution

The fourth proportional to 2,101.57, 2,899.81 and 1,217.22 is: 1,679.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.57 : 2,899.81 = 1,217.22 : x
  2. Step 2: Convert to fraction form
    2,101.57/2,899.81 = 1,217.22/x
  3. Step 3: Cross multiply
    2,101.57x = 2,899.81 × 1,217.22
  4. Step 4: Simplify right side
    2,101.57x = 3,529,706.73
  5. Step 5: Solve for x
    x = 3,529,706.73/2,101.57
  6. Step 6: Final answer
    x = 1,679.56

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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.