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Finding the Fourth Proportional to 2,142.24, 3,212.97 and 681.72

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Solution

The fourth proportional to 2,142.24, 3,212.97 and 681.72 is: 1,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.24 : 3,212.97 = 681.72 : x
  2. Step 2: Convert to fraction form
    2,142.24/3,212.97 = 681.72/x
  3. Step 3: Cross multiply
    2,142.24x = 3,212.97 × 681.72
  4. Step 4: Simplify right side
    2,142.24x = 2,190,345.91
  5. Step 5: Solve for x
    x = 2,190,345.91/2,142.24
  6. Step 6: Final answer
    x = 1,022.46

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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.