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Finding the Fourth Proportional to 1,404.12, 2,105.94 and 378.12

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Solution

The fourth proportional to 1,404.12, 2,105.94 and 378.12 is: 567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.12 : 2,105.94 = 378.12 : x
  2. Step 2: Convert to fraction form
    1,404.12/2,105.94 = 378.12/x
  3. Step 3: Cross multiply
    1,404.12x = 2,105.94 × 378.12
  4. Step 4: Simplify right side
    1,404.12x = 796,298.03
  5. Step 5: Solve for x
    x = 796,298.03/1,404.12
  6. Step 6: Final answer
    x = 567.12

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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.