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Finding the Fourth Proportional to 2,394.26, 3,304.26 and 1,346.42

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Solution

The fourth proportional to 2,394.26, 3,304.26 and 1,346.42 is: 1,858.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.26 : 3,304.26 = 1,346.42 : x
  2. Step 2: Convert to fraction form
    2,394.26/3,304.26 = 1,346.42/x
  3. Step 3: Cross multiply
    2,394.26x = 3,304.26 × 1,346.42
  4. Step 4: Simplify right side
    2,394.26x = 4,448,921.75
  5. Step 5: Solve for x
    x = 4,448,921.75/2,394.26
  6. Step 6: Final answer
    x = 1,858.16

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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.