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Finding the Fourth Proportional to 2,732.33, 3,771.02 and 1,670.70

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Solution

The fourth proportional to 2,732.33, 3,771.02 and 1,670.70 is: 2,305.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.33 : 3,771.02 = 1,670.70 : x
  2. Step 2: Convert to fraction form
    2,732.33/3,771.02 = 1,670.70/x
  3. Step 3: Cross multiply
    2,732.33x = 3,771.02 × 1,670.70
  4. Step 4: Simplify right side
    2,732.33x = 6,300,234.76
  5. Step 5: Solve for x
    x = 6,300,234.76/2,732.33
  6. Step 6: Final answer
    x = 2,305.81

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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.