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Finding the Fourth Proportional to 2,801.37, 4,202.73 and 1,981.25

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Solution

The fourth proportional to 2,801.37, 4,202.73 and 1,981.25 is: 2,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.37 : 4,202.73 = 1,981.25 : x
  2. Step 2: Convert to fraction form
    2,801.37/4,202.73 = 1,981.25/x
  3. Step 3: Cross multiply
    2,801.37x = 4,202.73 × 1,981.25
  4. Step 4: Simplify right side
    2,801.37x = 8,326,637.80
  5. Step 5: Solve for x
    x = 8,326,637.80/2,801.37
  6. Step 6: Final answer
    x = 2,972.34

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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.