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Finding the Fourth Proportional to 1,605.91, 2,216.22 and 1,212.25

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Solution

The fourth proportional to 1,605.91, 2,216.22 and 1,212.25 is: 1,672.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.91 : 2,216.22 = 1,212.25 : x
  2. Step 2: Convert to fraction form
    1,605.91/2,216.22 = 1,212.25/x
  3. Step 3: Cross multiply
    1,605.91x = 2,216.22 × 1,212.25
  4. Step 4: Simplify right side
    1,605.91x = 2,686,612.70
  5. Step 5: Solve for x
    x = 2,686,612.70/1,605.91
  6. Step 6: Final answer
    x = 1,672.95

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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.