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Finding the Fourth Proportional to 3,092.94, 4,640.12 and 1,013.06

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Solution

The fourth proportional to 3,092.94, 4,640.12 and 1,013.06 is: 1,519.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.94 : 4,640.12 = 1,013.06 : x
  2. Step 2: Convert to fraction form
    3,092.94/4,640.12 = 1,013.06/x
  3. Step 3: Cross multiply
    3,092.94x = 4,640.12 × 1,013.06
  4. Step 4: Simplify right side
    3,092.94x = 4,700,691.70
  5. Step 5: Solve for x
    x = 4,700,691.70/3,092.94
  6. Step 6: Final answer
    x = 1,519.81

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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.