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Finding the Fourth Proportional to 1,606.91, 2,217.60 and 1,213.25

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Solution

The fourth proportional to 1,606.91, 2,217.60 and 1,213.25 is: 1,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.91 : 2,217.60 = 1,213.25 : x
  2. Step 2: Convert to fraction form
    1,606.91/2,217.60 = 1,213.25/x
  3. Step 3: Cross multiply
    1,606.91x = 2,217.60 × 1,213.25
  4. Step 4: Simplify right side
    1,606.91x = 2,690,503.20
  5. Step 5: Solve for x
    x = 2,690,503.20/1,606.91
  6. Step 6: Final answer
    x = 1,674.33

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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.