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Finding the Fourth Proportional to 2,119.82, 3,179.95 and 639.05

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Solution

The fourth proportional to 2,119.82, 3,179.95 and 639.05 is: 958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.82 : 3,179.95 = 639.05 : x
  2. Step 2: Convert to fraction form
    2,119.82/3,179.95 = 639.05/x
  3. Step 3: Cross multiply
    2,119.82x = 3,179.95 × 639.05
  4. Step 4: Simplify right side
    2,119.82x = 2,032,129.55
  5. Step 5: Solve for x
    x = 2,032,129.55/2,119.82
  6. Step 6: Final answer
    x = 958.64

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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.