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Finding the Fourth Proportional to 3,222.52, 4,828.02 and 1,684.60

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Solution

The fourth proportional to 3,222.52, 4,828.02 and 1,684.60 is: 2,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.52 : 4,828.02 = 1,684.60 : x
  2. Step 2: Convert to fraction form
    3,222.52/4,828.02 = 1,684.60/x
  3. Step 3: Cross multiply
    3,222.52x = 4,828.02 × 1,684.60
  4. Step 4: Simplify right side
    3,222.52x = 8,133,282.49
  5. Step 5: Solve for x
    x = 8,133,282.49/3,222.52
  6. Step 6: Final answer
    x = 2,523.89

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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.