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Finding the Fourth Proportional to 1,515.19, 2,272.98 and 475.24

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Solution

The fourth proportional to 1,515.19, 2,272.98 and 475.24 is: 712.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.19 : 2,272.98 = 475.24 : x
  2. Step 2: Convert to fraction form
    1,515.19/2,272.98 = 475.24/x
  3. Step 3: Cross multiply
    1,515.19x = 2,272.98 × 475.24
  4. Step 4: Simplify right side
    1,515.19x = 1,080,211.02
  5. Step 5: Solve for x
    x = 1,080,211.02/1,515.19
  6. Step 6: Final answer
    x = 712.92

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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.