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Finding the Fourth Proportional to 2,076.45, 3,111.02 and 1,850.46

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Solution

The fourth proportional to 2,076.45, 3,111.02 and 1,850.46 is: 2,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.45 : 3,111.02 = 1,850.46 : x
  2. Step 2: Convert to fraction form
    2,076.45/3,111.02 = 1,850.46/x
  3. Step 3: Cross multiply
    2,076.45x = 3,111.02 × 1,850.46
  4. Step 4: Simplify right side
    2,076.45x = 5,756,818.07
  5. Step 5: Solve for x
    x = 5,756,818.07/2,076.45
  6. Step 6: Final answer
    x = 2,772.43

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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.