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Finding the Fourth Proportional to 2,549.79, 3,824.73 and 906.35

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Solution

The fourth proportional to 2,549.79, 3,824.73 and 906.35 is: 1,359.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.79 : 3,824.73 = 906.35 : x
  2. Step 2: Convert to fraction form
    2,549.79/3,824.73 = 906.35/x
  3. Step 3: Cross multiply
    2,549.79x = 3,824.73 × 906.35
  4. Step 4: Simplify right side
    2,549.79x = 3,466,524.91
  5. Step 5: Solve for x
    x = 3,466,524.91/2,549.79
  6. Step 6: Final answer
    x = 1,359.53

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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.