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Finding the Fourth Proportional to 3,346.90, 4,616.72 and 2,019.30

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Solution

The fourth proportional to 3,346.90, 4,616.72 and 2,019.30 is: 2,785.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.90 : 4,616.72 = 2,019.30 : x
  2. Step 2: Convert to fraction form
    3,346.90/4,616.72 = 2,019.30/x
  3. Step 3: Cross multiply
    3,346.90x = 4,616.72 × 2,019.30
  4. Step 4: Simplify right side
    3,346.90x = 9,322,542.70
  5. Step 5: Solve for x
    x = 9,322,542.70/3,346.90
  6. Step 6: Final answer
    x = 2,785.43

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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.