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Finding the Fourth Proportional to 3,278.34, 4,524.05 and 1,786.25

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Solution

The fourth proportional to 3,278.34, 4,524.05 and 1,786.25 is: 2,464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.34 : 4,524.05 = 1,786.25 : x
  2. Step 2: Convert to fraction form
    3,278.34/4,524.05 = 1,786.25/x
  3. Step 3: Cross multiply
    3,278.34x = 4,524.05 × 1,786.25
  4. Step 4: Simplify right side
    3,278.34x = 8,081,061.69
  5. Step 5: Solve for x
    x = 8,081,061.69/3,278.34
  6. Step 6: Final answer
    x = 2,464.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.