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Finding the Fourth Proportional to 3,222.32, 4,834.60 and 1,663.60

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Solution

The fourth proportional to 3,222.32, 4,834.60 and 1,663.60 is: 2,495.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.32 : 4,834.60 = 1,663.60 : x
  2. Step 2: Convert to fraction form
    3,222.32/4,834.60 = 1,663.60/x
  3. Step 3: Cross multiply
    3,222.32x = 4,834.60 × 1,663.60
  4. Step 4: Simplify right side
    3,222.32x = 8,042,840.56
  5. Step 5: Solve for x
    x = 8,042,840.56/3,222.32
  6. Step 6: Final answer
    x = 2,495.98

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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.