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Finding the Fourth Proportional to 3,218.64, 4,828.41 and 1,026.88

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Solution

The fourth proportional to 3,218.64, 4,828.41 and 1,026.88 is: 1,540.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.64 : 4,828.41 = 1,026.88 : x
  2. Step 2: Convert to fraction form
    3,218.64/4,828.41 = 1,026.88/x
  3. Step 3: Cross multiply
    3,218.64x = 4,828.41 × 1,026.88
  4. Step 4: Simplify right side
    3,218.64x = 4,958,185.59
  5. Step 5: Solve for x
    x = 4,958,185.59/3,218.64
  6. Step 6: Final answer
    x = 1,540.46

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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.