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Finding the Fourth Proportional to 3,218.94, 4,829.24 and 1,027.69

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Solution

The fourth proportional to 3,218.94, 4,829.24 and 1,027.69 is: 1,541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.94 : 4,829.24 = 1,027.69 : x
  2. Step 2: Convert to fraction form
    3,218.94/4,829.24 = 1,027.69/x
  3. Step 3: Cross multiply
    3,218.94x = 4,829.24 × 1,027.69
  4. Step 4: Simplify right side
    3,218.94x = 4,962,961.66
  5. Step 5: Solve for x
    x = 4,962,961.66/3,218.94
  6. Step 6: Final answer
    x = 1,541.80

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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.