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Finding the Fourth Proportional to 1,937.27, 2,672.89 and 1,274.34

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Solution

The fourth proportional to 1,937.27, 2,672.89 and 1,274.34 is: 1,758.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.27 : 2,672.89 = 1,274.34 : x
  2. Step 2: Convert to fraction form
    1,937.27/2,672.89 = 1,274.34/x
  3. Step 3: Cross multiply
    1,937.27x = 2,672.89 × 1,274.34
  4. Step 4: Simplify right side
    1,937.27x = 3,406,170.64
  5. Step 5: Solve for x
    x = 3,406,170.64/1,937.27
  6. Step 6: Final answer
    x = 1,758.23

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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.