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Finding the Fourth Proportional to 3,122.52, 4,683.83 and 814.02

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Solution

The fourth proportional to 3,122.52, 4,683.83 and 814.02 is: 1,221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.52 : 4,683.83 = 814.02 : x
  2. Step 2: Convert to fraction form
    3,122.52/4,683.83 = 814.02/x
  3. Step 3: Cross multiply
    3,122.52x = 4,683.83 × 814.02
  4. Step 4: Simplify right side
    3,122.52x = 3,812,709.66
  5. Step 5: Solve for x
    x = 3,812,709.66/3,122.52
  6. Step 6: Final answer
    x = 1,221.04

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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.