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Finding the Fourth Proportional to 3,174.93, 4,381.43 and 1,777.77

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Solution

The fourth proportional to 3,174.93, 4,381.43 and 1,777.77 is: 2,453.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.93 : 4,381.43 = 1,777.77 : x
  2. Step 2: Convert to fraction form
    3,174.93/4,381.43 = 1,777.77/x
  3. Step 3: Cross multiply
    3,174.93x = 4,381.43 × 1,777.77
  4. Step 4: Simplify right side
    3,174.93x = 7,789,165.92
  5. Step 5: Solve for x
    x = 7,789,165.92/3,174.93
  6. Step 6: Final answer
    x = 2,453.33

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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.