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Finding the Fourth Proportional to 2,299.05, 3,172.48 and 1,304.33

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Solution

The fourth proportional to 2,299.05, 3,172.48 and 1,304.33 is: 1,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.05 : 3,172.48 = 1,304.33 : x
  2. Step 2: Convert to fraction form
    2,299.05/3,172.48 = 1,304.33/x
  3. Step 3: Cross multiply
    2,299.05x = 3,172.48 × 1,304.33
  4. Step 4: Simplify right side
    2,299.05x = 4,137,941.72
  5. Step 5: Solve for x
    x = 4,137,941.72/2,299.05
  6. Step 6: Final answer
    x = 1,799.85

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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.