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Finding the Fourth Proportional to 1,769.81, 2,442.60 and 1,274.09

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Solution

The fourth proportional to 1,769.81, 2,442.60 and 1,274.09 is: 1,758.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.81 : 2,442.60 = 1,274.09 : x
  2. Step 2: Convert to fraction form
    1,769.81/2,442.60 = 1,274.09/x
  3. Step 3: Cross multiply
    1,769.81x = 2,442.60 × 1,274.09
  4. Step 4: Simplify right side
    1,769.81x = 3,112,092.23
  5. Step 5: Solve for x
    x = 3,112,092.23/1,769.81
  6. Step 6: Final answer
    x = 1,758.43

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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.