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Finding the Fourth Proportional to 3,268.88, 4,898.57 and 1,514.42

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Solution

The fourth proportional to 3,268.88, 4,898.57 and 1,514.42 is: 2,269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.88 : 4,898.57 = 1,514.42 : x
  2. Step 2: Convert to fraction form
    3,268.88/4,898.57 = 1,514.42/x
  3. Step 3: Cross multiply
    3,268.88x = 4,898.57 × 1,514.42
  4. Step 4: Simplify right side
    3,268.88x = 7,418,497.05
  5. Step 5: Solve for x
    x = 7,418,497.05/3,268.88
  6. Step 6: Final answer
    x = 2,269.43

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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.