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Finding the Fourth Proportional to 2,664.59, 3,998.66 and 933.21

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Solution

The fourth proportional to 2,664.59, 3,998.66 and 933.21 is: 1,400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.59 : 3,998.66 = 933.21 : x
  2. Step 2: Convert to fraction form
    2,664.59/3,998.66 = 933.21/x
  3. Step 3: Cross multiply
    2,664.59x = 3,998.66 × 933.21
  4. Step 4: Simplify right side
    2,664.59x = 3,731,584.83
  5. Step 5: Solve for x
    x = 3,731,584.83/2,664.59
  6. Step 6: Final answer
    x = 1,400.44

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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.