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Finding the Fourth Proportional to 2,558.93, 3,832.23 and 1,777.98

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Solution

The fourth proportional to 2,558.93, 3,832.23 and 1,777.98 is: 2,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.93 : 3,832.23 = 1,777.98 : x
  2. Step 2: Convert to fraction form
    2,558.93/3,832.23 = 1,777.98/x
  3. Step 3: Cross multiply
    2,558.93x = 3,832.23 × 1,777.98
  4. Step 4: Simplify right side
    2,558.93x = 6,813,628.30
  5. Step 5: Solve for x
    x = 6,813,628.30/2,558.93
  6. Step 6: Final answer
    x = 2,662.69

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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.