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Finding the Fourth Proportional to 1,514.53, 2,268.15 and 863.29

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Solution

The fourth proportional to 1,514.53, 2,268.15 and 863.29 is: 1,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.53 : 2,268.15 = 863.29 : x
  2. Step 2: Convert to fraction form
    1,514.53/2,268.15 = 863.29/x
  3. Step 3: Cross multiply
    1,514.53x = 2,268.15 × 863.29
  4. Step 4: Simplify right side
    1,514.53x = 1,958,071.21
  5. Step 5: Solve for x
    x = 1,958,071.21/1,514.53
  6. Step 6: Final answer
    x = 1,292.86

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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.