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Finding the Fourth Proportional to 2,213.97, 3,318.81 and 752.16

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Solution

The fourth proportional to 2,213.97, 3,318.81 and 752.16 is: 1,127.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.97 : 3,318.81 = 752.16 : x
  2. Step 2: Convert to fraction form
    2,213.97/3,318.81 = 752.16/x
  3. Step 3: Cross multiply
    2,213.97x = 3,318.81 × 752.16
  4. Step 4: Simplify right side
    2,213.97x = 2,496,276.13
  5. Step 5: Solve for x
    x = 2,496,276.13/2,213.97
  6. Step 6: Final answer
    x = 1,127.51

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1.5x scale

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.