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Finding the Fourth Proportional to 2,826.04, 4,239.87 and 1,850.94

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Solution

The fourth proportional to 2,826.04, 4,239.87 and 1,850.94 is: 2,776.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.04 : 4,239.87 = 1,850.94 : x
  2. Step 2: Convert to fraction form
    2,826.04/4,239.87 = 1,850.94/x
  3. Step 3: Cross multiply
    2,826.04x = 4,239.87 × 1,850.94
  4. Step 4: Simplify right side
    2,826.04x = 7,847,744.98
  5. Step 5: Solve for x
    x = 7,847,744.98/2,826.04
  6. Step 6: Final answer
    x = 2,776.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.