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Finding the Fourth Proportional to 2,239.36, 3,343.94 and 1,829.31

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Solution

The fourth proportional to 2,239.36, 3,343.94 and 1,829.31 is: 2,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.36 : 3,343.94 = 1,829.31 : x
  2. Step 2: Convert to fraction form
    2,239.36/3,343.94 = 1,829.31/x
  3. Step 3: Cross multiply
    2,239.36x = 3,343.94 × 1,829.31
  4. Step 4: Simplify right side
    2,239.36x = 6,117,102.88
  5. Step 5: Solve for x
    x = 6,117,102.88/2,239.36
  6. Step 6: Final answer
    x = 2,731.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.