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Finding the Fourth Proportional to 2,741.92, 4,113.97 and 1,355.22

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Solution

The fourth proportional to 2,741.92, 4,113.97 and 1,355.22 is: 2,033.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.92 : 4,113.97 = 1,355.22 : x
  2. Step 2: Convert to fraction form
    2,741.92/4,113.97 = 1,355.22/x
  3. Step 3: Cross multiply
    2,741.92x = 4,113.97 × 1,355.22
  4. Step 4: Simplify right side
    2,741.92x = 5,575,331.04
  5. Step 5: Solve for x
    x = 5,575,331.04/2,741.92
  6. Step 6: Final answer
    x = 2,033.37

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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.