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Finding the Fourth Proportional to 2,992.98, 4,480.24 and 2,737.82

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Solution

The fourth proportional to 2,992.98, 4,480.24 and 2,737.82 is: 4,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.98 : 4,480.24 = 2,737.82 : x
  2. Step 2: Convert to fraction form
    2,992.98/4,480.24 = 2,737.82/x
  3. Step 3: Cross multiply
    2,992.98x = 4,480.24 × 2,737.82
  4. Step 4: Simplify right side
    2,992.98x = 12,266,090.68
  5. Step 5: Solve for x
    x = 12,266,090.68/2,992.98
  6. Step 6: Final answer
    x = 4,098.29

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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.