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Finding the Fourth Proportional to 2,919.42, 4,379.05 and 839.43

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Solution

The fourth proportional to 2,919.42, 4,379.05 and 839.43 is: 1,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.42 : 4,379.05 = 839.43 : x
  2. Step 2: Convert to fraction form
    2,919.42/4,379.05 = 839.43/x
  3. Step 3: Cross multiply
    2,919.42x = 4,379.05 × 839.43
  4. Step 4: Simplify right side
    2,919.42x = 3,675,905.94
  5. Step 5: Solve for x
    x = 3,675,905.94/2,919.42
  6. Step 6: Final answer
    x = 1,259.12

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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.