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Finding the Fourth Proportional to 2,110.77, 3,166.35 and 629.97

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Solution

The fourth proportional to 2,110.77, 3,166.35 and 629.97 is: 945.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.77 : 3,166.35 = 629.97 : x
  2. Step 2: Convert to fraction form
    2,110.77/3,166.35 = 629.97/x
  3. Step 3: Cross multiply
    2,110.77x = 3,166.35 × 629.97
  4. Step 4: Simplify right side
    2,110.77x = 1,994,705.51
  5. Step 5: Solve for x
    x = 1,994,705.51/2,110.77
  6. Step 6: Final answer
    x = 945.01

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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.