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Finding the Fourth Proportional to 3,076.50, 4,244.22 and 2,334

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Solution

The fourth proportional to 3,076.50, 4,244.22 and 2,334 is: 3,219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.50 : 4,244.22 = 2,334 : x
  2. Step 2: Convert to fraction form
    3,076.50/4,244.22 = 2,334/x
  3. Step 3: Cross multiply
    3,076.50x = 4,244.22 × 2,334
  4. Step 4: Simplify right side
    3,076.50x = 9,906,009.48
  5. Step 5: Solve for x
    x = 9,906,009.48/3,076.50
  6. Step 6: Final answer
    x = 3,219.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.