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Finding the Fourth Proportional to 2,733.72, 3,777.12 and 2,178.33

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Solution

The fourth proportional to 2,733.72, 3,777.12 and 2,178.33 is: 3,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.72 : 3,777.12 = 2,178.33 : x
  2. Step 2: Convert to fraction form
    2,733.72/3,777.12 = 2,178.33/x
  3. Step 3: Cross multiply
    2,733.72x = 3,777.12 × 2,178.33
  4. Step 4: Simplify right side
    2,733.72x = 8,227,813.81
  5. Step 5: Solve for x
    x = 8,227,813.81/2,733.72
  6. Step 6: Final answer
    x = 3,009.75

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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.