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Finding the Fourth Proportional to 1,515.11, 2,272.69 and 475.09

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Solution

The fourth proportional to 1,515.11, 2,272.69 and 475.09 is: 712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.11 : 2,272.69 = 475.09 : x
  2. Step 2: Convert to fraction form
    1,515.11/2,272.69 = 475.09/x
  3. Step 3: Cross multiply
    1,515.11x = 2,272.69 × 475.09
  4. Step 4: Simplify right side
    1,515.11x = 1,079,727.20
  5. Step 5: Solve for x
    x = 1,079,727.20/1,515.11
  6. Step 6: Final answer
    x = 712.64

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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.