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Finding the Fourth Proportional to 3,082.52, 4,623.11 and 890.78

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Solution

The fourth proportional to 3,082.52, 4,623.11 and 890.78 is: 1,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.52 : 4,623.11 = 890.78 : x
  2. Step 2: Convert to fraction form
    3,082.52/4,623.11 = 890.78/x
  3. Step 3: Cross multiply
    3,082.52x = 4,623.11 × 890.78
  4. Step 4: Simplify right side
    3,082.52x = 4,118,149.70
  5. Step 5: Solve for x
    x = 4,118,149.70/3,082.52
  6. Step 6: Final answer
    x = 1,335.97

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Half scale
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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.