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Finding the Fourth Proportional to 1,896.98, 2,846.55 and 1,514.66

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Solution

The fourth proportional to 1,896.98, 2,846.55 and 1,514.66 is: 2,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.98 : 2,846.55 = 1,514.66 : x
  2. Step 2: Convert to fraction form
    1,896.98/2,846.55 = 1,514.66/x
  3. Step 3: Cross multiply
    1,896.98x = 2,846.55 × 1,514.66
  4. Step 4: Simplify right side
    1,896.98x = 4,311,555.42
  5. Step 5: Solve for x
    x = 4,311,555.42/1,896.98
  6. Step 6: Final answer
    x = 2,272.85

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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.