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Finding the Fourth Proportional to 2,304.29, 3,453.71 and 1,328.38

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Solution

The fourth proportional to 2,304.29, 3,453.71 and 1,328.38 is: 1,990.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.29 : 3,453.71 = 1,328.38 : x
  2. Step 2: Convert to fraction form
    2,304.29/3,453.71 = 1,328.38/x
  3. Step 3: Cross multiply
    2,304.29x = 3,453.71 × 1,328.38
  4. Step 4: Simplify right side
    2,304.29x = 4,587,824.01
  5. Step 5: Solve for x
    x = 4,587,824.01/2,304.29
  6. Step 6: Final answer
    x = 1,990.99

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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.