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Finding the Fourth Proportional to 3,297.48, 4,944 and 1,105.62

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Solution

The fourth proportional to 3,297.48, 4,944 and 1,105.62 is: 1,657.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.48 : 4,944 = 1,105.62 : x
  2. Step 2: Convert to fraction form
    3,297.48/4,944 = 1,105.62/x
  3. Step 3: Cross multiply
    3,297.48x = 4,944 × 1,105.62
  4. Step 4: Simplify right side
    3,297.48x = 5,466,185.28
  5. Step 5: Solve for x
    x = 5,466,185.28/3,297.48
  6. Step 6: Final answer
    x = 1,657.69

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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.