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Finding the Fourth Proportional to 2,941.14, 4,408.24 and 1,294.24

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Solution

The fourth proportional to 2,941.14, 4,408.24 and 1,294.24 is: 1,939.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.14 : 4,408.24 = 1,294.24 : x
  2. Step 2: Convert to fraction form
    2,941.14/4,408.24 = 1,294.24/x
  3. Step 3: Cross multiply
    2,941.14x = 4,408.24 × 1,294.24
  4. Step 4: Simplify right side
    2,941.14x = 5,705,314.07
  5. Step 5: Solve for x
    x = 5,705,314.07/2,941.14
  6. Step 6: Final answer
    x = 1,939.83

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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.