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Finding the Fourth Proportional to 2,161.36, 3,243.48 and 929.86

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Solution

The fourth proportional to 2,161.36, 3,243.48 and 929.86 is: 1,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.36 : 3,243.48 = 929.86 : x
  2. Step 2: Convert to fraction form
    2,161.36/3,243.48 = 929.86/x
  3. Step 3: Cross multiply
    2,161.36x = 3,243.48 × 929.86
  4. Step 4: Simplify right side
    2,161.36x = 3,015,982.31
  5. Step 5: Solve for x
    x = 3,015,982.31/2,161.36
  6. Step 6: Final answer
    x = 1,395.41

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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.