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Finding the Fourth Proportional to 4,253.74, 6,380.71 and 1,620.90

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Solution

The fourth proportional to 4,253.74, 6,380.71 and 1,620.90 is: 2,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.74 : 6,380.71 = 1,620.90 : x
  2. Step 2: Convert to fraction form
    4,253.74/6,380.71 = 1,620.90/x
  3. Step 3: Cross multiply
    4,253.74x = 6,380.71 × 1,620.90
  4. Step 4: Simplify right side
    4,253.74x = 10,342,488.79
  5. Step 5: Solve for x
    x = 10,342,488.79/4,253.74
  6. Step 6: Final answer
    x = 2,431.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.