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Finding the Fourth Proportional to 2,383.49, 3,575.23 and 922.64

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Solution

The fourth proportional to 2,383.49, 3,575.23 and 922.64 is: 1,383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.49 : 3,575.23 = 922.64 : x
  2. Step 2: Convert to fraction form
    2,383.49/3,575.23 = 922.64/x
  3. Step 3: Cross multiply
    2,383.49x = 3,575.23 × 922.64
  4. Step 4: Simplify right side
    2,383.49x = 3,298,654.68
  5. Step 5: Solve for x
    x = 3,298,654.68/2,383.49
  6. Step 6: Final answer
    x = 1,383.96

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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.