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Finding the Fourth Proportional to 2,676.25, 3,684.45 and 2,326.78

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Solution

The fourth proportional to 2,676.25, 3,684.45 and 2,326.78 is: 3,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.25 : 3,684.45 = 2,326.78 : x
  2. Step 2: Convert to fraction form
    2,676.25/3,684.45 = 2,326.78/x
  3. Step 3: Cross multiply
    2,676.25x = 3,684.45 × 2,326.78
  4. Step 4: Simplify right side
    2,676.25x = 8,572,904.57
  5. Step 5: Solve for x
    x = 8,572,904.57/2,676.25
  6. Step 6: Final answer
    x = 3,203.33

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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.