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Finding the Fourth Proportional to 3,382.70, 4,668.36 and 2,056.14

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Solution

The fourth proportional to 3,382.70, 4,668.36 and 2,056.14 is: 2,837.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.70 : 4,668.36 = 2,056.14 : x
  2. Step 2: Convert to fraction form
    3,382.70/4,668.36 = 2,056.14/x
  3. Step 3: Cross multiply
    3,382.70x = 4,668.36 × 2,056.14
  4. Step 4: Simplify right side
    3,382.70x = 9,598,801.73
  5. Step 5: Solve for x
    x = 9,598,801.73/3,382.70
  6. Step 6: Final answer
    x = 2,837.62

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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.