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Finding the Fourth Proportional to 2,673.76, 3,679.92 and 2,343.04

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Solution

The fourth proportional to 2,673.76, 3,679.92 and 2,343.04 is: 3,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.76 : 3,679.92 = 2,343.04 : x
  2. Step 2: Convert to fraction form
    2,673.76/3,679.92 = 2,343.04/x
  3. Step 3: Cross multiply
    2,673.76x = 3,679.92 × 2,343.04
  4. Step 4: Simplify right side
    2,673.76x = 8,622,199.76
  5. Step 5: Solve for x
    x = 8,622,199.76/2,673.76
  6. Step 6: Final answer
    x = 3,224.75

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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.