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Finding the Fourth Proportional to 3,027.72, 4,541.03 and 835.91

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Solution

The fourth proportional to 3,027.72, 4,541.03 and 835.91 is: 1,253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.72 : 4,541.03 = 835.91 : x
  2. Step 2: Convert to fraction form
    3,027.72/4,541.03 = 835.91/x
  3. Step 3: Cross multiply
    3,027.72x = 4,541.03 × 835.91
  4. Step 4: Simplify right side
    3,027.72x = 3,795,892.39
  5. Step 5: Solve for x
    x = 3,795,892.39/3,027.72
  6. Step 6: Final answer
    x = 1,253.71

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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.