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Finding the Fourth Proportional to 3,138.61, 4,329.89 and 2,019.34

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Solution

The fourth proportional to 3,138.61, 4,329.89 and 2,019.34 is: 2,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.61 : 4,329.89 = 2,019.34 : x
  2. Step 2: Convert to fraction form
    3,138.61/4,329.89 = 2,019.34/x
  3. Step 3: Cross multiply
    3,138.61x = 4,329.89 × 2,019.34
  4. Step 4: Simplify right side
    3,138.61x = 8,743,520.07
  5. Step 5: Solve for x
    x = 8,743,520.07/3,138.61
  6. Step 6: Final answer
    x = 2,785.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.