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Finding the Fourth Proportional to 2,676.29, 3,690.42 and 1,838.21

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Solution

The fourth proportional to 2,676.29, 3,690.42 and 1,838.21 is: 2,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.29 : 3,690.42 = 1,838.21 : x
  2. Step 2: Convert to fraction form
    2,676.29/3,690.42 = 1,838.21/x
  3. Step 3: Cross multiply
    2,676.29x = 3,690.42 × 1,838.21
  4. Step 4: Simplify right side
    2,676.29x = 6,783,748.50
  5. Step 5: Solve for x
    x = 6,783,748.50/2,676.29
  6. Step 6: Final answer
    x = 2,534.76

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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.