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Finding the Fourth Proportional to 2,975.25, 4,464.42 and 1,514.42

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Solution

The fourth proportional to 2,975.25, 4,464.42 and 1,514.42 is: 2,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.25 : 4,464.42 = 1,514.42 : x
  2. Step 2: Convert to fraction form
    2,975.25/4,464.42 = 1,514.42/x
  3. Step 3: Cross multiply
    2,975.25x = 4,464.42 × 1,514.42
  4. Step 4: Simplify right side
    2,975.25x = 6,761,006.94
  5. Step 5: Solve for x
    x = 6,761,006.94/2,975.25
  6. Step 6: Final answer
    x = 2,272.42

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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.