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Finding the Fourth Proportional to 2,514.82, 3,472.82 and 1,620.12

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Solution

The fourth proportional to 2,514.82, 3,472.82 and 1,620.12 is: 2,237.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.82 : 3,472.82 = 1,620.12 : x
  2. Step 2: Convert to fraction form
    2,514.82/3,472.82 = 1,620.12/x
  3. Step 3: Cross multiply
    2,514.82x = 3,472.82 × 1,620.12
  4. Step 4: Simplify right side
    2,514.82x = 5,626,385.14
  5. Step 5: Solve for x
    x = 5,626,385.14/2,514.82
  6. Step 6: Final answer
    x = 2,237.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.