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Finding the Fourth Proportional to 1,645.94, 2,266.82 and 1,522.82

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Solution

The fourth proportional to 1,645.94, 2,266.82 and 1,522.82 is: 2,097.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.94 : 2,266.82 = 1,522.82 : x
  2. Step 2: Convert to fraction form
    1,645.94/2,266.82 = 1,522.82/x
  3. Step 3: Cross multiply
    1,645.94x = 2,266.82 × 1,522.82
  4. Step 4: Simplify right side
    1,645.94x = 3,451,958.83
  5. Step 5: Solve for x
    x = 3,451,958.83/1,645.94
  6. Step 6: Final answer
    x = 2,097.26

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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.