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Finding the Fourth Proportional to 1,935.62, 2,672.27 and 1,274.40

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Solution

The fourth proportional to 1,935.62, 2,672.27 and 1,274.40 is: 1,759.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.62 : 2,672.27 = 1,274.40 : x
  2. Step 2: Convert to fraction form
    1,935.62/2,672.27 = 1,274.40/x
  3. Step 3: Cross multiply
    1,935.62x = 2,672.27 × 1,274.40
  4. Step 4: Simplify right side
    1,935.62x = 3,405,531.02
  5. Step 5: Solve for x
    x = 3,405,531.02/1,935.62
  6. Step 6: Final answer
    x = 1,759.40

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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.