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Finding the Fourth Proportional to 3,072.84, 4,240.32 and 2,076.54

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Solution

The fourth proportional to 3,072.84, 4,240.32 and 2,076.54 is: 2,865.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.84 : 4,240.32 = 2,076.54 : x
  2. Step 2: Convert to fraction form
    3,072.84/4,240.32 = 2,076.54/x
  3. Step 3: Cross multiply
    3,072.84x = 4,240.32 × 2,076.54
  4. Step 4: Simplify right side
    3,072.84x = 8,805,194.09
  5. Step 5: Solve for x
    x = 8,805,194.09/3,072.84
  6. Step 6: Final answer
    x = 2,865.49

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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.