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Finding the Fourth Proportional to 3,037.54, 4,553.74 and 1,282.47

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Solution

The fourth proportional to 3,037.54, 4,553.74 and 1,282.47 is: 1,922.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.54 : 4,553.74 = 1,282.47 : x
  2. Step 2: Convert to fraction form
    3,037.54/4,553.74 = 1,282.47/x
  3. Step 3: Cross multiply
    3,037.54x = 4,553.74 × 1,282.47
  4. Step 4: Simplify right side
    3,037.54x = 5,840,042.28
  5. Step 5: Solve for x
    x = 5,840,042.28/3,037.54
  6. Step 6: Final answer
    x = 1,922.62

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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.