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Finding the Fourth Proportional to 2,489.94, 3,734.64 and 1,029.78

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Solution

The fourth proportional to 2,489.94, 3,734.64 and 1,029.78 is: 1,544.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.94 : 3,734.64 = 1,029.78 : x
  2. Step 2: Convert to fraction form
    2,489.94/3,734.64 = 1,029.78/x
  3. Step 3: Cross multiply
    2,489.94x = 3,734.64 × 1,029.78
  4. Step 4: Simplify right side
    2,489.94x = 3,845,857.58
  5. Step 5: Solve for x
    x = 3,845,857.58/2,489.94
  6. Step 6: Final answer
    x = 1,544.56

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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.