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Finding the Fourth Proportional to 4,254.71, 6,380.39 and 1,442.79

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Solution

The fourth proportional to 4,254.71, 6,380.39 and 1,442.79 is: 2,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.71 : 6,380.39 = 1,442.79 : x
  2. Step 2: Convert to fraction form
    4,254.71/6,380.39 = 1,442.79/x
  3. Step 3: Cross multiply
    4,254.71x = 6,380.39 × 1,442.79
  4. Step 4: Simplify right side
    4,254.71x = 9,205,566.50
  5. Step 5: Solve for x
    x = 9,205,566.50/4,254.71
  6. Step 6: Final answer
    x = 2,163.62

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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.