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Finding the Fourth Proportional to 2,940.21, 4,406.22 and 2,114.64

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Solution

The fourth proportional to 2,940.21, 4,406.22 and 2,114.64 is: 3,169.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.21 : 4,406.22 = 2,114.64 : x
  2. Step 2: Convert to fraction form
    2,940.21/4,406.22 = 2,114.64/x
  3. Step 3: Cross multiply
    2,940.21x = 4,406.22 × 2,114.64
  4. Step 4: Simplify right side
    2,940.21x = 9,317,569.06
  5. Step 5: Solve for x
    x = 9,317,569.06/2,940.21
  6. Step 6: Final answer
    x = 3,169.01

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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.