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Finding the Fourth Proportional to 1,638.36, 2,259.90 and 974.73

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Solution

The fourth proportional to 1,638.36, 2,259.90 and 974.73 is: 1,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.36 : 2,259.90 = 974.73 : x
  2. Step 2: Convert to fraction form
    1,638.36/2,259.90 = 974.73/x
  3. Step 3: Cross multiply
    1,638.36x = 2,259.90 × 974.73
  4. Step 4: Simplify right side
    1,638.36x = 2,202,792.33
  5. Step 5: Solve for x
    x = 2,202,792.33/1,638.36
  6. Step 6: Final answer
    x = 1,344.51

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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.