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Finding the Fourth Proportional to 3,156.99, 4,735.89 and 1,694.13

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Solution

The fourth proportional to 3,156.99, 4,735.89 and 1,694.13 is: 2,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.99 : 4,735.89 = 1,694.13 : x
  2. Step 2: Convert to fraction form
    3,156.99/4,735.89 = 1,694.13/x
  3. Step 3: Cross multiply
    3,156.99x = 4,735.89 × 1,694.13
  4. Step 4: Simplify right side
    3,156.99x = 8,023,213.33
  5. Step 5: Solve for x
    x = 8,023,213.33/3,156.99
  6. Step 6: Final answer
    x = 2,541.41

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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.