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Finding the Fourth Proportional to 2,657.34, 3,986.01 and 1,736.37

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Solution

The fourth proportional to 2,657.34, 3,986.01 and 1,736.37 is: 2,604.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.34 : 3,986.01 = 1,736.37 : x
  2. Step 2: Convert to fraction form
    2,657.34/3,986.01 = 1,736.37/x
  3. Step 3: Cross multiply
    2,657.34x = 3,986.01 × 1,736.37
  4. Step 4: Simplify right side
    2,657.34x = 6,921,188.18
  5. Step 5: Solve for x
    x = 6,921,188.18/2,657.34
  6. Step 6: Final answer
    x = 2,604.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.