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Finding the Fourth Proportional to 2,308.80, 3,463.20 and 922.35

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Solution

The fourth proportional to 2,308.80, 3,463.20 and 922.35 is: 1,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.80 : 3,463.20 = 922.35 : x
  2. Step 2: Convert to fraction form
    2,308.80/3,463.20 = 922.35/x
  3. Step 3: Cross multiply
    2,308.80x = 3,463.20 × 922.35
  4. Step 4: Simplify right side
    2,308.80x = 3,194,282.52
  5. Step 5: Solve for x
    x = 3,194,282.52/2,308.80
  6. Step 6: Final answer
    x = 1,383.53

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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.