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Finding the Fourth Proportional to 1,515.36, 2,272.98 and 475.20

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Solution

The fourth proportional to 1,515.36, 2,272.98 and 475.20 is: 712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.36 : 2,272.98 = 475.20 : x
  2. Step 2: Convert to fraction form
    1,515.36/2,272.98 = 475.20/x
  3. Step 3: Cross multiply
    1,515.36x = 2,272.98 × 475.20
  4. Step 4: Simplify right side
    1,515.36x = 1,080,120.10
  5. Step 5: Solve for x
    x = 1,080,120.10/1,515.36
  6. Step 6: Final answer
    x = 712.78

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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.