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Finding the Fourth Proportional to 2,733.88, 3,772.56 and 2,145.82

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Solution

The fourth proportional to 2,733.88, 3,772.56 and 2,145.82 is: 2,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.88 : 3,772.56 = 2,145.82 : x
  2. Step 2: Convert to fraction form
    2,733.88/3,772.56 = 2,145.82/x
  3. Step 3: Cross multiply
    2,733.88x = 3,772.56 × 2,145.82
  4. Step 4: Simplify right side
    2,733.88x = 8,095,234.70
  5. Step 5: Solve for x
    x = 8,095,234.70/2,733.88
  6. Step 6: Final answer
    x = 2,961.08

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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.