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Finding the Fourth Proportional to 2,662.09, 3,673.43 and 1,466.81

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Solution

The fourth proportional to 2,662.09, 3,673.43 and 1,466.81 is: 2,024.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.09 : 3,673.43 = 1,466.81 : x
  2. Step 2: Convert to fraction form
    2,662.09/3,673.43 = 1,466.81/x
  3. Step 3: Cross multiply
    2,662.09x = 3,673.43 × 1,466.81
  4. Step 4: Simplify right side
    2,662.09x = 5,388,236.02
  5. Step 5: Solve for x
    x = 5,388,236.02/2,662.09
  6. Step 6: Final answer
    x = 2,024.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.