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Finding the Fourth Proportional to 2,919.29, 4,379.67 and 839.30

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Solution

The fourth proportional to 2,919.29, 4,379.67 and 839.30 is: 1,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.29 : 4,379.67 = 839.30 : x
  2. Step 2: Convert to fraction form
    2,919.29/4,379.67 = 839.30/x
  3. Step 3: Cross multiply
    2,919.29x = 4,379.67 × 839.30
  4. Step 4: Simplify right side
    2,919.29x = 3,675,841.17
  5. Step 5: Solve for x
    x = 3,675,841.17/2,919.29
  6. Step 6: Final answer
    x = 1,259.15

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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.