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Finding the Fourth Proportional to 2,997.53, 4,489.76 and 2,471.63

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Solution

The fourth proportional to 2,997.53, 4,489.76 and 2,471.63 is: 3,702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.53 : 4,489.76 = 2,471.63 : x
  2. Step 2: Convert to fraction form
    2,997.53/4,489.76 = 2,471.63/x
  3. Step 3: Cross multiply
    2,997.53x = 4,489.76 × 2,471.63
  4. Step 4: Simplify right side
    2,997.53x = 11,096,990.70
  5. Step 5: Solve for x
    x = 11,096,990.70/2,997.53
  6. Step 6: Final answer
    x = 3,702.04

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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.