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Finding the Fourth Proportional to 2,733.42, 4,092.72 and 2,145.30

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Solution

The fourth proportional to 2,733.42, 4,092.72 and 2,145.30 is: 3,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.42 : 4,092.72 = 2,145.30 : x
  2. Step 2: Convert to fraction form
    2,733.42/4,092.72 = 2,145.30/x
  3. Step 3: Cross multiply
    2,733.42x = 4,092.72 × 2,145.30
  4. Step 4: Simplify right side
    2,733.42x = 8,780,112.22
  5. Step 5: Solve for x
    x = 8,780,112.22/2,733.42
  6. Step 6: Final answer
    x = 3,212.13

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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.