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Finding the Fourth Proportional to 3,189.51, 4,782.38 and 1,239.44

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Solution

The fourth proportional to 3,189.51, 4,782.38 and 1,239.44 is: 1,858.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.51 : 4,782.38 = 1,239.44 : x
  2. Step 2: Convert to fraction form
    3,189.51/4,782.38 = 1,239.44/x
  3. Step 3: Cross multiply
    3,189.51x = 4,782.38 × 1,239.44
  4. Step 4: Simplify right side
    3,189.51x = 5,927,442.96
  5. Step 5: Solve for x
    x = 5,927,442.96/3,189.51
  6. Step 6: Final answer
    x = 1,858.42

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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.