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Finding the Fourth Proportional to 2,372.97, 3,274.42 and 1,378.09

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Solution

The fourth proportional to 2,372.97, 3,274.42 and 1,378.09 is: 1,901.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.97 : 3,274.42 = 1,378.09 : x
  2. Step 2: Convert to fraction form
    2,372.97/3,274.42 = 1,378.09/x
  3. Step 3: Cross multiply
    2,372.97x = 3,274.42 × 1,378.09
  4. Step 4: Simplify right side
    2,372.97x = 4,512,445.46
  5. Step 5: Solve for x
    x = 4,512,445.46/2,372.97
  6. Step 6: Final answer
    x = 1,901.60

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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.