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Finding the Fourth Proportional to 3,294.82, 4,942.23 and 954.96

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Solution

The fourth proportional to 3,294.82, 4,942.23 and 954.96 is: 1,432.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.82 : 4,942.23 = 954.96 : x
  2. Step 2: Convert to fraction form
    3,294.82/4,942.23 = 954.96/x
  3. Step 3: Cross multiply
    3,294.82x = 4,942.23 × 954.96
  4. Step 4: Simplify right side
    3,294.82x = 4,719,631.96
  5. Step 5: Solve for x
    x = 4,719,631.96/3,294.82
  6. Step 6: Final answer
    x = 1,432.44

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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.