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Finding the Fourth Proportional to 1,734.26, 2,392.89 and 1,586.84

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Solution

The fourth proportional to 1,734.26, 2,392.89 and 1,586.84 is: 2,189.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.26 : 2,392.89 = 1,586.84 : x
  2. Step 2: Convert to fraction form
    1,734.26/2,392.89 = 1,586.84/x
  3. Step 3: Cross multiply
    1,734.26x = 2,392.89 × 1,586.84
  4. Step 4: Simplify right side
    1,734.26x = 3,797,133.57
  5. Step 5: Solve for x
    x = 3,797,133.57/1,734.26
  6. Step 6: Final answer
    x = 2,189.48

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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.