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Finding the Fourth Proportional to 2,164.36, 3,244.38 and 931.24

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Solution

The fourth proportional to 2,164.36, 3,244.38 and 931.24 is: 1,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.36 : 3,244.38 = 931.24 : x
  2. Step 2: Convert to fraction form
    2,164.36/3,244.38 = 931.24/x
  3. Step 3: Cross multiply
    2,164.36x = 3,244.38 × 931.24
  4. Step 4: Simplify right side
    2,164.36x = 3,021,296.43
  5. Step 5: Solve for x
    x = 3,021,296.43/2,164.36
  6. Step 6: Final answer
    x = 1,395.93

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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.