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Finding the Fourth Proportional to 2,736.96, 3,777.16 and 1,558.42

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Solution

The fourth proportional to 2,736.96, 3,777.16 and 1,558.42 is: 2,150.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.96 : 3,777.16 = 1,558.42 : x
  2. Step 2: Convert to fraction form
    2,736.96/3,777.16 = 1,558.42/x
  3. Step 3: Cross multiply
    2,736.96x = 3,777.16 × 1,558.42
  4. Step 4: Simplify right side
    2,736.96x = 5,886,401.69
  5. Step 5: Solve for x
    x = 5,886,401.69/2,736.96
  6. Step 6: Final answer
    x = 2,150.71

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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.