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Finding the Fourth Proportional to 3,401.65, 4,693.99 and 2,057.76

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Solution

The fourth proportional to 3,401.65, 4,693.99 and 2,057.76 is: 2,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.65 : 4,693.99 = 2,057.76 : x
  2. Step 2: Convert to fraction form
    3,401.65/4,693.99 = 2,057.76/x
  3. Step 3: Cross multiply
    3,401.65x = 4,693.99 × 2,057.76
  4. Step 4: Simplify right side
    3,401.65x = 9,659,104.86
  5. Step 5: Solve for x
    x = 9,659,104.86/3,401.65
  6. Step 6: Final answer
    x = 2,839.54

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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.