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Finding the Fourth Proportional to 2,734.67, 4,074.49 and 2,707.36

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Solution

The fourth proportional to 2,734.67, 4,074.49 and 2,707.36 is: 4,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.67 : 4,074.49 = 2,707.36 : x
  2. Step 2: Convert to fraction form
    2,734.67/4,074.49 = 2,707.36/x
  3. Step 3: Cross multiply
    2,734.67x = 4,074.49 × 2,707.36
  4. Step 4: Simplify right side
    2,734.67x = 11,031,111.25
  5. Step 5: Solve for x
    x = 11,031,111.25/2,734.67
  6. Step 6: Final answer
    x = 4,033.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.