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Finding the Fourth Proportional to 1,645.73, 2,272.14 and 1,225.61

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Solution

The fourth proportional to 1,645.73, 2,272.14 and 1,225.61 is: 1,692.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.73 : 2,272.14 = 1,225.61 : x
  2. Step 2: Convert to fraction form
    1,645.73/2,272.14 = 1,225.61/x
  3. Step 3: Cross multiply
    1,645.73x = 2,272.14 × 1,225.61
  4. Step 4: Simplify right side
    1,645.73x = 2,784,757.51
  5. Step 5: Solve for x
    x = 2,784,757.51/1,645.73
  6. Step 6: Final answer
    x = 1,692.11

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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.