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Finding the Fourth Proportional to 1,634.03, 2,254.20 and 935

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Solution

The fourth proportional to 1,634.03, 2,254.20 and 935 is: 1,289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.03 : 2,254.20 = 935 : x
  2. Step 2: Convert to fraction form
    1,634.03/2,254.20 = 935/x
  3. Step 3: Cross multiply
    1,634.03x = 2,254.20 × 935
  4. Step 4: Simplify right side
    1,634.03x = 2,107,677
  5. Step 5: Solve for x
    x = 2,107,677/1,634.03
  6. Step 6: Final answer
    x = 1,289.86

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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.