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Finding the Fourth Proportional to 1,644.56, 2,466.73 and 1,097.07

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Solution

The fourth proportional to 1,644.56, 2,466.73 and 1,097.07 is: 1,645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.56 : 2,466.73 = 1,097.07 : x
  2. Step 2: Convert to fraction form
    1,644.56/2,466.73 = 1,097.07/x
  3. Step 3: Cross multiply
    1,644.56x = 2,466.73 × 1,097.07
  4. Step 4: Simplify right side
    1,644.56x = 2,706,175.48
  5. Step 5: Solve for x
    x = 2,706,175.48/1,644.56
  6. Step 6: Final answer
    x = 1,645.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.