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Finding the Fourth Proportional to 2,292.54, 3,422.22 and 2,121.34

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Solution

The fourth proportional to 2,292.54, 3,422.22 and 2,121.34 is: 3,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.54 : 3,422.22 = 2,121.34 : x
  2. Step 2: Convert to fraction form
    2,292.54/3,422.22 = 2,121.34/x
  3. Step 3: Cross multiply
    2,292.54x = 3,422.22 × 2,121.34
  4. Step 4: Simplify right side
    2,292.54x = 7,259,692.17
  5. Step 5: Solve for x
    x = 7,259,692.17/2,292.54
  6. Step 6: Final answer
    x = 3,166.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.