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Finding the Fourth Proportional to 1,939.88, 2,674.53 and 1,585.43

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Solution

The fourth proportional to 1,939.88, 2,674.53 and 1,585.43 is: 2,185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.88 : 2,674.53 = 1,585.43 : x
  2. Step 2: Convert to fraction form
    1,939.88/2,674.53 = 1,585.43/x
  3. Step 3: Cross multiply
    1,939.88x = 2,674.53 × 1,585.43
  4. Step 4: Simplify right side
    1,939.88x = 4,240,266.73
  5. Step 5: Solve for x
    x = 4,240,266.73/1,939.88
  6. Step 6: Final answer
    x = 2,185.85

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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.