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Finding the Fourth Proportional to 1,866.24, 2,796.26 and 1,272.38

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Solution

The fourth proportional to 1,866.24, 2,796.26 and 1,272.38 is: 1,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.24 : 2,796.26 = 1,272.38 : x
  2. Step 2: Convert to fraction form
    1,866.24/2,796.26 = 1,272.38/x
  3. Step 3: Cross multiply
    1,866.24x = 2,796.26 × 1,272.38
  4. Step 4: Simplify right side
    1,866.24x = 3,557,884.96
  5. Step 5: Solve for x
    x = 3,557,884.96/1,866.24
  6. Step 6: Final answer
    x = 1,906.45

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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.