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Finding the Fourth Proportional to 2,704.34, 3,726.42 and 2,074.88

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Solution

The fourth proportional to 2,704.34, 3,726.42 and 2,074.88 is: 2,859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.34 : 3,726.42 = 2,074.88 : x
  2. Step 2: Convert to fraction form
    2,704.34/3,726.42 = 2,074.88/x
  3. Step 3: Cross multiply
    2,704.34x = 3,726.42 × 2,074.88
  4. Step 4: Simplify right side
    2,704.34x = 7,731,874.33
  5. Step 5: Solve for x
    x = 7,731,874.33/2,704.34
  6. Step 6: Final answer
    x = 2,859.06

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