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Finding the Fourth Proportional to 2,146.74, 3,220.21 and 666.97

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Solution

The fourth proportional to 2,146.74, 3,220.21 and 666.97 is: 1,000.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.74 : 3,220.21 = 666.97 : x
  2. Step 2: Convert to fraction form
    2,146.74/3,220.21 = 666.97/x
  3. Step 3: Cross multiply
    2,146.74x = 3,220.21 × 666.97
  4. Step 4: Simplify right side
    2,146.74x = 2,147,772.50
  5. Step 5: Solve for x
    x = 2,147,772.50/2,146.74
  6. Step 6: Final answer
    x = 1,000.48

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Double scale
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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.