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Finding the Fourth Proportional to 2,676.78, 3,689.28 and 2,178.36

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Solution

The fourth proportional to 2,676.78, 3,689.28 and 2,178.36 is: 3,002.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.78 : 3,689.28 = 2,178.36 : x
  2. Step 2: Convert to fraction form
    2,676.78/3,689.28 = 2,178.36/x
  3. Step 3: Cross multiply
    2,676.78x = 3,689.28 × 2,178.36
  4. Step 4: Simplify right side
    2,676.78x = 8,036,579.98
  5. Step 5: Solve for x
    x = 8,036,579.98/2,676.78
  6. Step 6: Final answer
    x = 3,002.33

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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.