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Finding the Fourth Proportional to 2,441.67, 3,664.04 and 1,519.03

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Solution

The fourth proportional to 2,441.67, 3,664.04 and 1,519.03 is: 2,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.67 : 3,664.04 = 1,519.03 : x
  2. Step 2: Convert to fraction form
    2,441.67/3,664.04 = 1,519.03/x
  3. Step 3: Cross multiply
    2,441.67x = 3,664.04 × 1,519.03
  4. Step 4: Simplify right side
    2,441.67x = 5,565,782.88
  5. Step 5: Solve for x
    x = 5,565,782.88/2,441.67
  6. Step 6: Final answer
    x = 2,279.50

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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.