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Finding the Fourth Proportional to 3,094.74, 4,640.22 and 2,122.20

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Solution

The fourth proportional to 3,094.74, 4,640.22 and 2,122.20 is: 3,182.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.74 : 4,640.22 = 2,122.20 : x
  2. Step 2: Convert to fraction form
    3,094.74/4,640.22 = 2,122.20/x
  3. Step 3: Cross multiply
    3,094.74x = 4,640.22 × 2,122.20
  4. Step 4: Simplify right side
    3,094.74x = 9,847,474.88
  5. Step 5: Solve for x
    x = 9,847,474.88/3,094.74
  6. Step 6: Final answer
    x = 3,182.00

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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.