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Finding the Fourth Proportional to 3,257.67, 4,883.75 and 2,214.74

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Solution

The fourth proportional to 3,257.67, 4,883.75 and 2,214.74 is: 3,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.67 : 4,883.75 = 2,214.74 : x
  2. Step 2: Convert to fraction form
    3,257.67/4,883.75 = 2,214.74/x
  3. Step 3: Cross multiply
    3,257.67x = 4,883.75 × 2,214.74
  4. Step 4: Simplify right side
    3,257.67x = 10,816,254.22
  5. Step 5: Solve for x
    x = 10,816,254.22/3,257.67
  6. Step 6: Final answer
    x = 3,320.24

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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.