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Finding the Fourth Proportional to 2,733.42, 3,768.12 and 2,174.10

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Solution

The fourth proportional to 2,733.42, 3,768.12 and 2,174.10 is: 2,997.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.42 : 3,768.12 = 2,174.10 : x
  2. Step 2: Convert to fraction form
    2,733.42/3,768.12 = 2,174.10/x
  3. Step 3: Cross multiply
    2,733.42x = 3,768.12 × 2,174.10
  4. Step 4: Simplify right side
    2,733.42x = 8,192,269.69
  5. Step 5: Solve for x
    x = 8,192,269.69/2,733.42
  6. Step 6: Final answer
    x = 2,997.08

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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.