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Finding the Fourth Proportional to 3,286.65, 4,929.94 and 821.45

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Solution

The fourth proportional to 3,286.65, 4,929.94 and 821.45 is: 1,232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.65 : 4,929.94 = 821.45 : x
  2. Step 2: Convert to fraction form
    3,286.65/4,929.94 = 821.45/x
  3. Step 3: Cross multiply
    3,286.65x = 4,929.94 × 821.45
  4. Step 4: Simplify right side
    3,286.65x = 4,049,699.21
  5. Step 5: Solve for x
    x = 4,049,699.21/3,286.65
  6. Step 6: Final answer
    x = 1,232.17

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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.