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Finding the Fourth Proportional to 3,218.74, 4,827.71 and 1,027.29

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Solution

The fourth proportional to 3,218.74, 4,827.71 and 1,027.29 is: 1,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.74 : 4,827.71 = 1,027.29 : x
  2. Step 2: Convert to fraction form
    3,218.74/4,827.71 = 1,027.29/x
  3. Step 3: Cross multiply
    3,218.74x = 4,827.71 × 1,027.29
  4. Step 4: Simplify right side
    3,218.74x = 4,959,428.93
  5. Step 5: Solve for x
    x = 4,959,428.93/3,218.74
  6. Step 6: Final answer
    x = 1,540.80

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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.