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Finding the Fourth Proportional to 2,604.94, 3,907.74 and 1,199.02

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Solution

The fourth proportional to 2,604.94, 3,907.74 and 1,199.02 is: 1,798.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.94 : 3,907.74 = 1,199.02 : x
  2. Step 2: Convert to fraction form
    2,604.94/3,907.74 = 1,199.02/x
  3. Step 3: Cross multiply
    2,604.94x = 3,907.74 × 1,199.02
  4. Step 4: Simplify right side
    2,604.94x = 4,685,458.41
  5. Step 5: Solve for x
    x = 4,685,458.41/2,604.94
  6. Step 6: Final answer
    x = 1,798.68

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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.