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Finding the Fourth Proportional to 3,157.31, 4,735.97 and 848.81

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Solution

The fourth proportional to 3,157.31, 4,735.97 and 848.81 is: 1,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.31 : 4,735.97 = 848.81 : x
  2. Step 2: Convert to fraction form
    3,157.31/4,735.97 = 848.81/x
  3. Step 3: Cross multiply
    3,157.31x = 4,735.97 × 848.81
  4. Step 4: Simplify right side
    3,157.31x = 4,019,949.47
  5. Step 5: Solve for x
    x = 4,019,949.47/3,157.31
  6. Step 6: Final answer
    x = 1,273.22

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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.