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Finding the Fourth Proportional to 3,160.99, 4,738.91 and 1,185.51

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Solution

The fourth proportional to 3,160.99, 4,738.91 and 1,185.51 is: 1,777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.99 : 4,738.91 = 1,185.51 : x
  2. Step 2: Convert to fraction form
    3,160.99/4,738.91 = 1,185.51/x
  3. Step 3: Cross multiply
    3,160.99x = 4,738.91 × 1,185.51
  4. Step 4: Simplify right side
    3,160.99x = 5,617,997.05
  5. Step 5: Solve for x
    x = 5,617,997.05/3,160.99
  6. Step 6: Final answer
    x = 1,777.29

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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.