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Finding the Fourth Proportional to 2,372.94, 3,274.74 and 2,077.68

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Solution

The fourth proportional to 2,372.94, 3,274.74 and 2,077.68 is: 2,867.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.94 : 3,274.74 = 2,077.68 : x
  2. Step 2: Convert to fraction form
    2,372.94/3,274.74 = 2,077.68/x
  3. Step 3: Cross multiply
    2,372.94x = 3,274.74 × 2,077.68
  4. Step 4: Simplify right side
    2,372.94x = 6,803,861.80
  5. Step 5: Solve for x
    x = 6,803,861.80/2,372.94
  6. Step 6: Final answer
    x = 2,867.27

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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.