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Finding the Fourth Proportional to 3,294.84, 4,942.68 and 1,214.56

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Solution

The fourth proportional to 3,294.84, 4,942.68 and 1,214.56 is: 1,821.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.84 : 4,942.68 = 1,214.56 : x
  2. Step 2: Convert to fraction form
    3,294.84/4,942.68 = 1,214.56/x
  3. Step 3: Cross multiply
    3,294.84x = 4,942.68 × 1,214.56
  4. Step 4: Simplify right side
    3,294.84x = 6,003,181.42
  5. Step 5: Solve for x
    x = 6,003,181.42/3,294.84
  6. Step 6: Final answer
    x = 1,821.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.