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Finding the Fourth Proportional to 3,026.88, 4,539 and 1,796.76

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Solution

The fourth proportional to 3,026.88, 4,539 and 1,796.76 is: 2,694.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.88 : 4,539 = 1,796.76 : x
  2. Step 2: Convert to fraction form
    3,026.88/4,539 = 1,796.76/x
  3. Step 3: Cross multiply
    3,026.88x = 4,539 × 1,796.76
  4. Step 4: Simplify right side
    3,026.88x = 8,155,493.64
  5. Step 5: Solve for x
    x = 8,155,493.64/3,026.88
  6. Step 6: Final answer
    x = 2,694.36

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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.