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Finding the Fourth Proportional to 1,682.98, 2,515.09 and 1,589.38

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Solution

The fourth proportional to 1,682.98, 2,515.09 and 1,589.38 is: 2,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.98 : 2,515.09 = 1,589.38 : x
  2. Step 2: Convert to fraction form
    1,682.98/2,515.09 = 1,589.38/x
  3. Step 3: Cross multiply
    1,682.98x = 2,515.09 × 1,589.38
  4. Step 4: Simplify right side
    1,682.98x = 3,997,433.74
  5. Step 5: Solve for x
    x = 3,997,433.74/1,682.98
  6. Step 6: Final answer
    x = 2,375.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.