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Finding the Fourth Proportional to 1,415.16, 2,122.92 and 441.18

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Solution

The fourth proportional to 1,415.16, 2,122.92 and 441.18 is: 661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.16 : 2,122.92 = 441.18 : x
  2. Step 2: Convert to fraction form
    1,415.16/2,122.92 = 441.18/x
  3. Step 3: Cross multiply
    1,415.16x = 2,122.92 × 441.18
  4. Step 4: Simplify right side
    1,415.16x = 936,589.85
  5. Step 5: Solve for x
    x = 936,589.85/1,415.16
  6. Step 6: Final answer
    x = 661.83

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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.