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Finding the Fourth Proportional to 1,938.91, 2,674.34 and 1,191.89

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Solution

The fourth proportional to 1,938.91, 2,674.34 and 1,191.89 is: 1,643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.91 : 2,674.34 = 1,191.89 : x
  2. Step 2: Convert to fraction form
    1,938.91/2,674.34 = 1,191.89/x
  3. Step 3: Cross multiply
    1,938.91x = 2,674.34 × 1,191.89
  4. Step 4: Simplify right side
    1,938.91x = 3,187,514.27
  5. Step 5: Solve for x
    x = 3,187,514.27/1,938.91
  6. Step 6: Final answer
    x = 1,643.97

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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.