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Finding the Fourth Proportional to 3,076.20, 4,606.20 and 2,422.80

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Solution

The fourth proportional to 3,076.20, 4,606.20 and 2,422.80 is: 3,627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.20 : 4,606.20 = 2,422.80 : x
  2. Step 2: Convert to fraction form
    3,076.20/4,606.20 = 2,422.80/x
  3. Step 3: Cross multiply
    3,076.20x = 4,606.20 × 2,422.80
  4. Step 4: Simplify right side
    3,076.20x = 11,159,901.36
  5. Step 5: Solve for x
    x = 11,159,901.36/3,076.20
  6. Step 6: Final answer
    x = 3,627.82

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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.