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Finding the Fourth Proportional to 2,372.36, 3,274.14 and 1,377.68

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Solution

The fourth proportional to 2,372.36, 3,274.14 and 1,377.68 is: 1,901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.36 : 3,274.14 = 1,377.68 : x
  2. Step 2: Convert to fraction form
    2,372.36/3,274.14 = 1,377.68/x
  3. Step 3: Cross multiply
    2,372.36x = 3,274.14 × 1,377.68
  4. Step 4: Simplify right side
    2,372.36x = 4,510,717.20
  5. Step 5: Solve for x
    x = 4,510,717.20/2,372.36
  6. Step 6: Final answer
    x = 1,901.36

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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.