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Finding the Fourth Proportional to 1,441.04, 2,161.72 and 415.04

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Solution

The fourth proportional to 1,441.04, 2,161.72 and 415.04 is: 622.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.04 : 2,161.72 = 415.04 : x
  2. Step 2: Convert to fraction form
    1,441.04/2,161.72 = 415.04/x
  3. Step 3: Cross multiply
    1,441.04x = 2,161.72 × 415.04
  4. Step 4: Simplify right side
    1,441.04x = 897,200.27
  5. Step 5: Solve for x
    x = 897,200.27/1,441.04
  6. Step 6: Final answer
    x = 622.61

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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.