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Finding the Fourth Proportional to 3,308.70, 4,955.85 and 2,142.30

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Solution

The fourth proportional to 3,308.70, 4,955.85 and 2,142.30 is: 3,208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.70 : 4,955.85 = 2,142.30 : x
  2. Step 2: Convert to fraction form
    3,308.70/4,955.85 = 2,142.30/x
  3. Step 3: Cross multiply
    3,308.70x = 4,955.85 × 2,142.30
  4. Step 4: Simplify right side
    3,308.70x = 10,616,917.46
  5. Step 5: Solve for x
    x = 10,616,917.46/3,308.70
  6. Step 6: Final answer
    x = 3,208.79

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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.