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Finding the Fourth Proportional to 1,204.10, 1,794.25 and 1,081.46

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Solution

The fourth proportional to 1,204.10, 1,794.25 and 1,081.46 is: 1,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.10 : 1,794.25 = 1,081.46 : x
  2. Step 2: Convert to fraction form
    1,204.10/1,794.25 = 1,081.46/x
  3. Step 3: Cross multiply
    1,204.10x = 1,794.25 × 1,081.46
  4. Step 4: Simplify right side
    1,204.10x = 1,940,395.23
  5. Step 5: Solve for x
    x = 1,940,395.23/1,204.10
  6. Step 6: Final answer
    x = 1,611.50

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Double scale
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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.