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Finding the Fourth Proportional to 1,938.78, 2,674.04 and 1,342.27

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Solution

The fourth proportional to 1,938.78, 2,674.04 and 1,342.27 is: 1,851.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.78 : 2,674.04 = 1,342.27 : x
  2. Step 2: Convert to fraction form
    1,938.78/2,674.04 = 1,342.27/x
  3. Step 3: Cross multiply
    1,938.78x = 2,674.04 × 1,342.27
  4. Step 4: Simplify right side
    1,938.78x = 3,589,280.34
  5. Step 5: Solve for x
    x = 3,589,280.34/1,938.78
  6. Step 6: Final answer
    x = 1,851.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.