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Finding the Fourth Proportional to 2,676.34, 3,690.56 and 2,115.92

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Solution

The fourth proportional to 2,676.34, 3,690.56 and 2,115.92 is: 2,917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.34 : 3,690.56 = 2,115.92 : x
  2. Step 2: Convert to fraction form
    2,676.34/3,690.56 = 2,115.92/x
  3. Step 3: Cross multiply
    2,676.34x = 3,690.56 × 2,115.92
  4. Step 4: Simplify right side
    2,676.34x = 7,808,944.23
  5. Step 5: Solve for x
    x = 7,808,944.23/2,676.34
  6. Step 6: Final answer
    x = 2,917.77

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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.