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Finding the Fourth Proportional to 2,369.50, 3,269.70 and 1,321.54

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Solution

The fourth proportional to 2,369.50, 3,269.70 and 1,321.54 is: 1,823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.50 : 3,269.70 = 1,321.54 : x
  2. Step 2: Convert to fraction form
    2,369.50/3,269.70 = 1,321.54/x
  3. Step 3: Cross multiply
    2,369.50x = 3,269.70 × 1,321.54
  4. Step 4: Simplify right side
    2,369.50x = 4,321,039.34
  5. Step 5: Solve for x
    x = 4,321,039.34/2,369.50
  6. Step 6: Final answer
    x = 1,823.61

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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.