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Finding the Fourth Proportional to 3,257.74, 4,881.75 and 1,308.88

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Solution

The fourth proportional to 3,257.74, 4,881.75 and 1,308.88 is: 1,961.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.74 : 4,881.75 = 1,308.88 : x
  2. Step 2: Convert to fraction form
    3,257.74/4,881.75 = 1,308.88/x
  3. Step 3: Cross multiply
    3,257.74x = 4,881.75 × 1,308.88
  4. Step 4: Simplify right side
    3,257.74x = 6,389,624.94
  5. Step 5: Solve for x
    x = 6,389,624.94/3,257.74
  6. Step 6: Final answer
    x = 1,961.37

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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.