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Finding the Fourth Proportional to 2,142.46, 3,213.63 and 681.70

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Solution

The fourth proportional to 2,142.46, 3,213.63 and 681.70 is: 1,022.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.46 : 3,213.63 = 681.70 : x
  2. Step 2: Convert to fraction form
    2,142.46/3,213.63 = 681.70/x
  3. Step 3: Cross multiply
    2,142.46x = 3,213.63 × 681.70
  4. Step 4: Simplify right side
    2,142.46x = 2,190,731.57
  5. Step 5: Solve for x
    x = 2,190,731.57/2,142.46
  6. Step 6: Final answer
    x = 1,022.53

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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.