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Finding the Fourth Proportional to 4,798.99, 7,198.74 and 1,512.34

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Solution

The fourth proportional to 4,798.99, 7,198.74 and 1,512.34 is: 2,268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.99 : 7,198.74 = 1,512.34 : x
  2. Step 2: Convert to fraction form
    4,798.99/7,198.74 = 1,512.34/x
  3. Step 3: Cross multiply
    4,798.99x = 7,198.74 × 1,512.34
  4. Step 4: Simplify right side
    4,798.99x = 10,886,942.45
  5. Step 5: Solve for x
    x = 10,886,942.45/4,798.99
  6. Step 6: Final answer
    x = 2,268.59

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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.