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Finding the Fourth Proportional to 2,674.67, 4,012.54 and 1,894.94

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Solution

The fourth proportional to 2,674.67, 4,012.54 and 1,894.94 is: 2,842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.67 : 4,012.54 = 1,894.94 : x
  2. Step 2: Convert to fraction form
    2,674.67/4,012.54 = 1,894.94/x
  3. Step 3: Cross multiply
    2,674.67x = 4,012.54 × 1,894.94
  4. Step 4: Simplify right side
    2,674.67x = 7,603,535.37
  5. Step 5: Solve for x
    x = 7,603,535.37/2,674.67
  6. Step 6: Final answer
    x = 2,842.79

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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.