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Finding the Fourth Proportional to 2,446.25, 3,375.83 and 1,342.25

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Solution

The fourth proportional to 2,446.25, 3,375.83 and 1,342.25 is: 1,852.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.25 : 3,375.83 = 1,342.25 : x
  2. Step 2: Convert to fraction form
    2,446.25/3,375.83 = 1,342.25/x
  3. Step 3: Cross multiply
    2,446.25x = 3,375.83 × 1,342.25
  4. Step 4: Simplify right side
    2,446.25x = 4,531,207.82
  5. Step 5: Solve for x
    x = 4,531,207.82/2,446.25
  6. Step 6: Final answer
    x = 1,852.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.