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Finding the Fourth Proportional to 3,034.80, 4,553.28 and 1,304.64

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Solution

The fourth proportional to 3,034.80, 4,553.28 and 1,304.64 is: 1,957.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.80 : 4,553.28 = 1,304.64 : x
  2. Step 2: Convert to fraction form
    3,034.80/4,553.28 = 1,304.64/x
  3. Step 3: Cross multiply
    3,034.80x = 4,553.28 × 1,304.64
  4. Step 4: Simplify right side
    3,034.80x = 5,940,391.22
  5. Step 5: Solve for x
    x = 5,940,391.22/3,034.80
  6. Step 6: Final answer
    x = 1,957.42

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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.