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Finding the Fourth Proportional to 4,246.08, 6,367.49 and 1,648.41

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Solution

The fourth proportional to 4,246.08, 6,367.49 and 1,648.41 is: 2,471.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,246.08 : 6,367.49 = 1,648.41 : x
  2. Step 2: Convert to fraction form
    4,246.08/6,367.49 = 1,648.41/x
  3. Step 3: Cross multiply
    4,246.08x = 6,367.49 × 1,648.41
  4. Step 4: Simplify right side
    4,246.08x = 10,496,234.19
  5. Step 5: Solve for x
    x = 10,496,234.19/4,246.08
  6. Step 6: Final answer
    x = 2,471.98

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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.