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Finding the Fourth Proportional to 2,299.54, 3,172.02 and 1,669.33

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Solution

The fourth proportional to 2,299.54, 3,172.02 and 1,669.33 is: 2,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.54 : 3,172.02 = 1,669.33 : x
  2. Step 2: Convert to fraction form
    2,299.54/3,172.02 = 1,669.33/x
  3. Step 3: Cross multiply
    2,299.54x = 3,172.02 × 1,669.33
  4. Step 4: Simplify right side
    2,299.54x = 5,295,148.15
  5. Step 5: Solve for x
    x = 5,295,148.15/2,299.54
  6. Step 6: Final answer
    x = 2,302.70

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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.