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Finding the Fourth Proportional to 1,397.37, 1,923.54 and 1,208.23

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Solution

The fourth proportional to 1,397.37, 1,923.54 and 1,208.23 is: 1,663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.37 : 1,923.54 = 1,208.23 : x
  2. Step 2: Convert to fraction form
    1,397.37/1,923.54 = 1,208.23/x
  3. Step 3: Cross multiply
    1,397.37x = 1,923.54 × 1,208.23
  4. Step 4: Simplify right side
    1,397.37x = 2,324,078.73
  5. Step 5: Solve for x
    x = 2,324,078.73/1,397.37
  6. Step 6: Final answer
    x = 1,663.18

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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.