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Finding the Fourth Proportional to 3,296.74, 4,947 and 1,348.96

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Solution

The fourth proportional to 3,296.74, 4,947 and 1,348.96 is: 2,024.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.74 : 4,947 = 1,348.96 : x
  2. Step 2: Convert to fraction form
    3,296.74/4,947 = 1,348.96/x
  3. Step 3: Cross multiply
    3,296.74x = 4,947 × 1,348.96
  4. Step 4: Simplify right side
    3,296.74x = 6,673,305.12
  5. Step 5: Solve for x
    x = 6,673,305.12/3,296.74
  6. Step 6: Final answer
    x = 2,024.21

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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.