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Finding the Fourth Proportional to 3,043.84, 4,198.74 and 2,050.50

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Solution

The fourth proportional to 3,043.84, 4,198.74 and 2,050.50 is: 2,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.84 : 4,198.74 = 2,050.50 : x
  2. Step 2: Convert to fraction form
    3,043.84/4,198.74 = 2,050.50/x
  3. Step 3: Cross multiply
    3,043.84x = 4,198.74 × 2,050.50
  4. Step 4: Simplify right side
    3,043.84x = 8,609,516.37
  5. Step 5: Solve for x
    x = 8,609,516.37/3,043.84
  6. Step 6: Final answer
    x = 2,828.50

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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.