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Finding the Fourth Proportional to 2,548.28, 3,823.66 and 906.04

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Solution

The fourth proportional to 2,548.28, 3,823.66 and 906.04 is: 1,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.28 : 3,823.66 = 906.04 : x
  2. Step 2: Convert to fraction form
    2,548.28/3,823.66 = 906.04/x
  3. Step 3: Cross multiply
    2,548.28x = 3,823.66 × 906.04
  4. Step 4: Simplify right side
    2,548.28x = 3,464,388.91
  5. Step 5: Solve for x
    x = 3,464,388.91/2,548.28
  6. Step 6: Final answer
    x = 1,359.50

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Half scale
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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.