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Finding the Fourth Proportional to 2,122.07, 3,180.92 and 890.20

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Solution

The fourth proportional to 2,122.07, 3,180.92 and 890.20 is: 1,334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.07 : 3,180.92 = 890.20 : x
  2. Step 2: Convert to fraction form
    2,122.07/3,180.92 = 890.20/x
  3. Step 3: Cross multiply
    2,122.07x = 3,180.92 × 890.20
  4. Step 4: Simplify right side
    2,122.07x = 2,831,634.63
  5. Step 5: Solve for x
    x = 2,831,634.63/2,122.07
  6. Step 6: Final answer
    x = 1,334.37

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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.