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Finding the Fourth Proportional to 3,294.67, 4,942.41 and 1,214.32

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Solution

The fourth proportional to 3,294.67, 4,942.41 and 1,214.32 is: 1,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.67 : 4,942.41 = 1,214.32 : x
  2. Step 2: Convert to fraction form
    3,294.67/4,942.41 = 1,214.32/x
  3. Step 3: Cross multiply
    3,294.67x = 4,942.41 × 1,214.32
  4. Step 4: Simplify right side
    3,294.67x = 6,001,667.31
  5. Step 5: Solve for x
    x = 6,001,667.31/3,294.67
  6. Step 6: Final answer
    x = 1,821.63

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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.