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Finding the Fourth Proportional to 2,704.68, 3,732.12 and 1,586

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Solution

The fourth proportional to 2,704.68, 3,732.12 and 1,586 is: 2,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.68 : 3,732.12 = 1,586 : x
  2. Step 2: Convert to fraction form
    2,704.68/3,732.12 = 1,586/x
  3. Step 3: Cross multiply
    2,704.68x = 3,732.12 × 1,586
  4. Step 4: Simplify right side
    2,704.68x = 5,919,142.32
  5. Step 5: Solve for x
    x = 5,919,142.32/2,704.68
  6. Step 6: Final answer
    x = 2,188.48

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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.