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Finding the Fourth Proportional to 1,270.08, 1,745.62 and 1,121.82

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Solution

The fourth proportional to 1,270.08, 1,745.62 and 1,121.82 is: 1,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.08 : 1,745.62 = 1,121.82 : x
  2. Step 2: Convert to fraction form
    1,270.08/1,745.62 = 1,121.82/x
  3. Step 3: Cross multiply
    1,270.08x = 1,745.62 × 1,121.82
  4. Step 4: Simplify right side
    1,270.08x = 1,958,271.43
  5. Step 5: Solve for x
    x = 1,958,271.43/1,270.08
  6. Step 6: Final answer
    x = 1,541.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.