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Finding the Fourth Proportional to 2,304.86, 3,469.74 and 2,103.98

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Solution

The fourth proportional to 2,304.86, 3,469.74 and 2,103.98 is: 3,167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.86 : 3,469.74 = 2,103.98 : x
  2. Step 2: Convert to fraction form
    2,304.86/3,469.74 = 2,103.98/x
  3. Step 3: Cross multiply
    2,304.86x = 3,469.74 × 2,103.98
  4. Step 4: Simplify right side
    2,304.86x = 7,300,238.33
  5. Step 5: Solve for x
    x = 7,300,238.33/2,304.86
  6. Step 6: Final answer
    x = 3,167.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.