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Finding the Fourth Proportional to 1,608.73, 2,219.54 and 945.81

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Solution

The fourth proportional to 1,608.73, 2,219.54 and 945.81 is: 1,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.73 : 2,219.54 = 945.81 : x
  2. Step 2: Convert to fraction form
    1,608.73/2,219.54 = 945.81/x
  3. Step 3: Cross multiply
    1,608.73x = 2,219.54 × 945.81
  4. Step 4: Simplify right side
    1,608.73x = 2,099,258.40
  5. Step 5: Solve for x
    x = 2,099,258.40/1,608.73
  6. Step 6: Final answer
    x = 1,304.92

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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.