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Finding the Fourth Proportional to 2,304.09, 3,456.45 and 743.58

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Solution

The fourth proportional to 2,304.09, 3,456.45 and 743.58 is: 1,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.09 : 3,456.45 = 743.58 : x
  2. Step 2: Convert to fraction form
    2,304.09/3,456.45 = 743.58/x
  3. Step 3: Cross multiply
    2,304.09x = 3,456.45 × 743.58
  4. Step 4: Simplify right side
    2,304.09x = 2,570,147.09
  5. Step 5: Solve for x
    x = 2,570,147.09/2,304.09
  6. Step 6: Final answer
    x = 1,115.47

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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.