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Finding the Fourth Proportional to 1,274.12, 1,902.45 and 1,141.49

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Solution

The fourth proportional to 1,274.12, 1,902.45 and 1,141.49 is: 1,704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.12 : 1,902.45 = 1,141.49 : x
  2. Step 2: Convert to fraction form
    1,274.12/1,902.45 = 1,141.49/x
  3. Step 3: Cross multiply
    1,274.12x = 1,902.45 × 1,141.49
  4. Step 4: Simplify right side
    1,274.12x = 2,171,618.14
  5. Step 5: Solve for x
    x = 2,171,618.14/1,274.12
  6. Step 6: Final answer
    x = 1,704.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.