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Finding the Fourth Proportional to 2,122.96, 3,184.20 and 662.16

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Solution

The fourth proportional to 2,122.96, 3,184.20 and 662.16 is: 993.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.96 : 3,184.20 = 662.16 : x
  2. Step 2: Convert to fraction form
    2,122.96/3,184.20 = 662.16/x
  3. Step 3: Cross multiply
    2,122.96x = 3,184.20 × 662.16
  4. Step 4: Simplify right side
    2,122.96x = 2,108,449.87
  5. Step 5: Solve for x
    x = 2,108,449.87/2,122.96
  6. Step 6: Final answer
    x = 993.17

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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.