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Finding the Fourth Proportional to 2,705.49, 3,734.36 and 1,586.48

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Solution

The fourth proportional to 2,705.49, 3,734.36 and 1,586.48 is: 2,189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.49 : 3,734.36 = 1,586.48 : x
  2. Step 2: Convert to fraction form
    2,705.49/3,734.36 = 1,586.48/x
  3. Step 3: Cross multiply
    2,705.49x = 3,734.36 × 1,586.48
  4. Step 4: Simplify right side
    2,705.49x = 5,924,460.85
  5. Step 5: Solve for x
    x = 5,924,460.85/2,705.49
  6. Step 6: Final answer
    x = 2,189.79

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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.