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Finding the Fourth Proportional to 2,677.74, 3,694.46 and 2,048.78

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Solution

The fourth proportional to 2,677.74, 3,694.46 and 2,048.78 is: 2,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.74 : 3,694.46 = 2,048.78 : x
  2. Step 2: Convert to fraction form
    2,677.74/3,694.46 = 2,048.78/x
  3. Step 3: Cross multiply
    2,677.74x = 3,694.46 × 2,048.78
  4. Step 4: Simplify right side
    2,677.74x = 7,569,107.04
  5. Step 5: Solve for x
    x = 7,569,107.04/2,677.74
  6. Step 6: Final answer
    x = 2,826.68

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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.