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Finding the Fourth Proportional to 1,997.40, 2,976.04 and 1,885.62

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Solution

The fourth proportional to 1,997.40, 2,976.04 and 1,885.62 is: 2,809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.40 : 2,976.04 = 1,885.62 : x
  2. Step 2: Convert to fraction form
    1,997.40/2,976.04 = 1,885.62/x
  3. Step 3: Cross multiply
    1,997.40x = 2,976.04 × 1,885.62
  4. Step 4: Simplify right side
    1,997.40x = 5,611,680.54
  5. Step 5: Solve for x
    x = 5,611,680.54/1,997.40
  6. Step 6: Final answer
    x = 2,809.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.