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Finding the Fourth Proportional to 2,676.59, 3,694.95 and 2,013.69

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Solution

The fourth proportional to 2,676.59, 3,694.95 and 2,013.69 is: 2,779.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.59 : 3,694.95 = 2,013.69 : x
  2. Step 2: Convert to fraction form
    2,676.59/3,694.95 = 2,013.69/x
  3. Step 3: Cross multiply
    2,676.59x = 3,694.95 × 2,013.69
  4. Step 4: Simplify right side
    2,676.59x = 7,440,483.87
  5. Step 5: Solve for x
    x = 7,440,483.87/2,676.59
  6. Step 6: Final answer
    x = 2,779.84

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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.