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Finding the Fourth Proportional to 2,604.69, 3,907.71 and 1,919.52

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Solution

The fourth proportional to 2,604.69, 3,907.71 and 1,919.52 is: 2,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.69 : 3,907.71 = 1,919.52 : x
  2. Step 2: Convert to fraction form
    2,604.69/3,907.71 = 1,919.52/x
  3. Step 3: Cross multiply
    2,604.69x = 3,907.71 × 1,919.52
  4. Step 4: Simplify right side
    2,604.69x = 7,500,927.50
  5. Step 5: Solve for x
    x = 7,500,927.50/2,604.69
  6. Step 6: Final answer
    x = 2,879.78

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