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Finding the Fourth Proportional to 2,057.89, 3,083.23 and 1,713.44

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Solution

The fourth proportional to 2,057.89, 3,083.23 and 1,713.44 is: 2,567.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.89 : 3,083.23 = 1,713.44 : x
  2. Step 2: Convert to fraction form
    2,057.89/3,083.23 = 1,713.44/x
  3. Step 3: Cross multiply
    2,057.89x = 3,083.23 × 1,713.44
  4. Step 4: Simplify right side
    2,057.89x = 5,282,905.63
  5. Step 5: Solve for x
    x = 5,282,905.63/2,057.89
  6. Step 6: Final answer
    x = 2,567.15

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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.