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Finding the Fourth Proportional to 3,100.52, 4,651.02 and 792

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Solution

The fourth proportional to 3,100.52, 4,651.02 and 792 is: 1,188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.52 : 4,651.02 = 792 : x
  2. Step 2: Convert to fraction form
    3,100.52/4,651.02 = 792/x
  3. Step 3: Cross multiply
    3,100.52x = 4,651.02 × 792
  4. Step 4: Simplify right side
    3,100.52x = 3,683,607.84
  5. Step 5: Solve for x
    x = 3,683,607.84/3,100.52
  6. Step 6: Final answer
    x = 1,188.06

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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.