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Finding the Fourth Proportional to 3,297.35, 4,946.01 and 1,349.56

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Solution

The fourth proportional to 3,297.35, 4,946.01 and 1,349.56 is: 2,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.35 : 4,946.01 = 1,349.56 : x
  2. Step 2: Convert to fraction form
    3,297.35/4,946.01 = 1,349.56/x
  3. Step 3: Cross multiply
    3,297.35x = 4,946.01 × 1,349.56
  4. Step 4: Simplify right side
    3,297.35x = 6,674,912.53
  5. Step 5: Solve for x
    x = 6,674,912.53/3,297.35
  6. Step 6: Final answer
    x = 2,024.33

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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.