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Finding the Fourth Proportional to 2,919.31, 4,378.98 and 839.35

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Solution

The fourth proportional to 2,919.31, 4,378.98 and 839.35 is: 1,259.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.31 : 4,378.98 = 839.35 : x
  2. Step 2: Convert to fraction form
    2,919.31/4,378.98 = 839.35/x
  3. Step 3: Cross multiply
    2,919.31x = 4,378.98 × 839.35
  4. Step 4: Simplify right side
    2,919.31x = 3,675,496.86
  5. Step 5: Solve for x
    x = 3,675,496.86/2,919.31
  6. Step 6: Final answer
    x = 1,259.03

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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.