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Finding the Fourth Proportional to 2,141.93, 3,212.90 and 681.10

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Solution

The fourth proportional to 2,141.93, 3,212.90 and 681.10 is: 1,021.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.93 : 3,212.90 = 681.10 : x
  2. Step 2: Convert to fraction form
    2,141.93/3,212.90 = 681.10/x
  3. Step 3: Cross multiply
    2,141.93x = 3,212.90 × 681.10
  4. Step 4: Simplify right side
    2,141.93x = 2,188,306.19
  5. Step 5: Solve for x
    x = 2,188,306.19/2,141.93
  6. Step 6: Final answer
    x = 1,021.65

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Double scale
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Similar ratio
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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.