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Finding the Fourth Proportional to 2,704.04, 3,726 and 2,074.54

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Solution

The fourth proportional to 2,704.04, 3,726 and 2,074.54 is: 2,858.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.04 : 3,726 = 2,074.54 : x
  2. Step 2: Convert to fraction form
    2,704.04/3,726 = 2,074.54/x
  3. Step 3: Cross multiply
    2,704.04x = 3,726 × 2,074.54
  4. Step 4: Simplify right side
    2,704.04x = 7,729,736.04
  5. Step 5: Solve for x
    x = 7,729,736.04/2,704.04
  6. Step 6: Final answer
    x = 2,858.59

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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.