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Finding the Fourth Proportional to 3,297.64, 4,944.66 and 1,348.24

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Solution

The fourth proportional to 3,297.64, 4,944.66 and 1,348.24 is: 2,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.64 : 4,944.66 = 1,348.24 : x
  2. Step 2: Convert to fraction form
    3,297.64/4,944.66 = 1,348.24/x
  3. Step 3: Cross multiply
    3,297.64x = 4,944.66 × 1,348.24
  4. Step 4: Simplify right side
    3,297.64x = 6,666,588.40
  5. Step 5: Solve for x
    x = 6,666,588.40/3,297.64
  6. Step 6: Final answer
    x = 2,021.62

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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.