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Finding the Fourth Proportional to 2,997.24, 4,496.34 and 916.75

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Solution

The fourth proportional to 2,997.24, 4,496.34 and 916.75 is: 1,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.24 : 4,496.34 = 916.75 : x
  2. Step 2: Convert to fraction form
    2,997.24/4,496.34 = 916.75/x
  3. Step 3: Cross multiply
    2,997.24x = 4,496.34 × 916.75
  4. Step 4: Simplify right side
    2,997.24x = 4,122,028.75
  5. Step 5: Solve for x
    x = 4,122,028.75/2,997.24
  6. Step 6: Final answer
    x = 1,375.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.