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Finding the Fourth Proportional to 2,733.53, 3,771.98 and 1,671.56

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Solution

The fourth proportional to 2,733.53, 3,771.98 and 1,671.56 is: 2,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.53 : 3,771.98 = 1,671.56 : x
  2. Step 2: Convert to fraction form
    2,733.53/3,771.98 = 1,671.56/x
  3. Step 3: Cross multiply
    2,733.53x = 3,771.98 × 1,671.56
  4. Step 4: Simplify right side
    2,733.53x = 6,305,090.89
  5. Step 5: Solve for x
    x = 6,305,090.89/2,733.53
  6. Step 6: Final answer
    x = 2,306.57

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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.