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Finding the Fourth Proportional to 2,997.84, 4,490.22 and 2,471.94

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Solution

The fourth proportional to 2,997.84, 4,490.22 and 2,471.94 is: 3,702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.84 : 4,490.22 = 2,471.94 : x
  2. Step 2: Convert to fraction form
    2,997.84/4,490.22 = 2,471.94/x
  3. Step 3: Cross multiply
    2,997.84x = 4,490.22 × 2,471.94
  4. Step 4: Simplify right side
    2,997.84x = 11,099,554.43
  5. Step 5: Solve for x
    x = 11,099,554.43/2,997.84
  6. Step 6: Final answer
    x = 3,702.52

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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.