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Finding the Fourth Proportional to 1,634.94, 2,449.31 and 1,267.93

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Solution

The fourth proportional to 1,634.94, 2,449.31 and 1,267.93 is: 1,899.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.94 : 2,449.31 = 1,267.93 : x
  2. Step 2: Convert to fraction form
    1,634.94/2,449.31 = 1,267.93/x
  3. Step 3: Cross multiply
    1,634.94x = 2,449.31 × 1,267.93
  4. Step 4: Simplify right side
    1,634.94x = 3,105,553.63
  5. Step 5: Solve for x
    x = 3,105,553.63/1,634.94
  6. Step 6: Final answer
    x = 1,899.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.