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Finding the Fourth Proportional to 2,110.66, 3,165.44 and 629.53

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Solution

The fourth proportional to 2,110.66, 3,165.44 and 629.53 is: 944.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.66 : 3,165.44 = 629.53 : x
  2. Step 2: Convert to fraction form
    2,110.66/3,165.44 = 629.53/x
  3. Step 3: Cross multiply
    2,110.66x = 3,165.44 × 629.53
  4. Step 4: Simplify right side
    2,110.66x = 1,992,736.30
  5. Step 5: Solve for x
    x = 1,992,736.30/2,110.66
  6. Step 6: Final answer
    x = 944.13

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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.