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Finding the Fourth Proportional to 2,047.22, 3,070.42 and 797.81

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Solution

The fourth proportional to 2,047.22, 3,070.42 and 797.81 is: 1,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.22 : 3,070.42 = 797.81 : x
  2. Step 2: Convert to fraction form
    2,047.22/3,070.42 = 797.81/x
  3. Step 3: Cross multiply
    2,047.22x = 3,070.42 × 797.81
  4. Step 4: Simplify right side
    2,047.22x = 2,449,611.78
  5. Step 5: Solve for x
    x = 2,449,611.78/2,047.22
  6. Step 6: Final answer
    x = 1,196.56

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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.