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Finding the Fourth Proportional to 2,795.97, 4,190.31 and 2,143.53

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Solution

The fourth proportional to 2,795.97, 4,190.31 and 2,143.53 is: 3,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.97 : 4,190.31 = 2,143.53 : x
  2. Step 2: Convert to fraction form
    2,795.97/4,190.31 = 2,143.53/x
  3. Step 3: Cross multiply
    2,795.97x = 4,190.31 × 2,143.53
  4. Step 4: Simplify right side
    2,795.97x = 8,982,055.19
  5. Step 5: Solve for x
    x = 8,982,055.19/2,795.97
  6. Step 6: Final answer
    x = 3,212.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.