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Finding the Fourth Proportional to 3,297.96, 4,550.58 and 1,972.17

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Solution

The fourth proportional to 3,297.96, 4,550.58 and 1,972.17 is: 2,721.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.96 : 4,550.58 = 1,972.17 : x
  2. Step 2: Convert to fraction form
    3,297.96/4,550.58 = 1,972.17/x
  3. Step 3: Cross multiply
    3,297.96x = 4,550.58 × 1,972.17
  4. Step 4: Simplify right side
    3,297.96x = 8,974,517.36
  5. Step 5: Solve for x
    x = 8,974,517.36/3,297.96
  6. Step 6: Final answer
    x = 2,721.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.