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Finding the Fourth Proportional to 2,853.92, 4,280.82 and 906.12

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Solution

The fourth proportional to 2,853.92, 4,280.82 and 906.12 is: 1,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.92 : 4,280.82 = 906.12 : x
  2. Step 2: Convert to fraction form
    2,853.92/4,280.82 = 906.12/x
  3. Step 3: Cross multiply
    2,853.92x = 4,280.82 × 906.12
  4. Step 4: Simplify right side
    2,853.92x = 3,878,936.62
  5. Step 5: Solve for x
    x = 3,878,936.62/2,853.92
  6. Step 6: Final answer
    x = 1,359.16

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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.