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Finding the Fourth Proportional to 2,997.36, 4,490.86 and 2,693

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Solution

The fourth proportional to 2,997.36, 4,490.86 and 2,693 is: 4,034.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.36 : 4,490.86 = 2,693 : x
  2. Step 2: Convert to fraction form
    2,997.36/4,490.86 = 2,693/x
  3. Step 3: Cross multiply
    2,997.36x = 4,490.86 × 2,693
  4. Step 4: Simplify right side
    2,997.36x = 12,093,885.98
  5. Step 5: Solve for x
    x = 12,093,885.98/2,997.36
  6. Step 6: Final answer
    x = 4,034.85

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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.