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Finding the Fourth Proportional to 3,207.86, 4,816.26 and 1,649.18

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Solution

The fourth proportional to 3,207.86, 4,816.26 and 1,649.18 is: 2,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.86 : 4,816.26 = 1,649.18 : x
  2. Step 2: Convert to fraction form
    3,207.86/4,816.26 = 1,649.18/x
  3. Step 3: Cross multiply
    3,207.86x = 4,816.26 × 1,649.18
  4. Step 4: Simplify right side
    3,207.86x = 7,942,891.71
  5. Step 5: Solve for x
    x = 7,942,891.71/3,207.86
  6. Step 6: Final answer
    x = 2,476.08

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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.