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Finding the Fourth Proportional to 1,538.24, 2,122.92 and 908.97

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Solution

The fourth proportional to 1,538.24, 2,122.92 and 908.97 is: 1,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.24 : 2,122.92 = 908.97 : x
  2. Step 2: Convert to fraction form
    1,538.24/2,122.92 = 908.97/x
  3. Step 3: Cross multiply
    1,538.24x = 2,122.92 × 908.97
  4. Step 4: Simplify right side
    1,538.24x = 1,929,670.59
  5. Step 5: Solve for x
    x = 1,929,670.59/1,538.24
  6. Step 6: Final answer
    x = 1,254.47

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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.