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Finding the Fourth Proportional to 2,962.54, 4,085.94 and 1,912.78

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Solution

The fourth proportional to 2,962.54, 4,085.94 and 1,912.78 is: 2,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.54 : 4,085.94 = 1,912.78 : x
  2. Step 2: Convert to fraction form
    2,962.54/4,085.94 = 1,912.78/x
  3. Step 3: Cross multiply
    2,962.54x = 4,085.94 × 1,912.78
  4. Step 4: Simplify right side
    2,962.54x = 7,815,504.31
  5. Step 5: Solve for x
    x = 7,815,504.31/2,962.54
  6. Step 6: Final answer
    x = 2,638.11

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Why These Related Problems?

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