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Finding the Fourth Proportional to 2,942.50, 4,414.48 and 890.50

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Solution

The fourth proportional to 2,942.50, 4,414.48 and 890.50 is: 1,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.50 : 4,414.48 = 890.50 : x
  2. Step 2: Convert to fraction form
    2,942.50/4,414.48 = 890.50/x
  3. Step 3: Cross multiply
    2,942.50x = 4,414.48 × 890.50
  4. Step 4: Simplify right side
    2,942.50x = 3,931,094.44
  5. Step 5: Solve for x
    x = 3,931,094.44/2,942.50
  6. Step 6: Final answer
    x = 1,335.97

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Double scale
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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.