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Finding the Fourth Proportional to 2,443.01, 3,664.24 and 711.64

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Solution

The fourth proportional to 2,443.01, 3,664.24 and 711.64 is: 1,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.01 : 3,664.24 = 711.64 : x
  2. Step 2: Convert to fraction form
    2,443.01/3,664.24 = 711.64/x
  3. Step 3: Cross multiply
    2,443.01x = 3,664.24 × 711.64
  4. Step 4: Simplify right side
    2,443.01x = 2,607,608.81
  5. Step 5: Solve for x
    x = 2,607,608.81/2,443.01
  6. Step 6: Final answer
    x = 1,067.37

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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.