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Finding the Fourth Proportional to 2,745.03, 4,117.65 and 797.25

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Solution

The fourth proportional to 2,745.03, 4,117.65 and 797.25 is: 1,195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.03 : 4,117.65 = 797.25 : x
  2. Step 2: Convert to fraction form
    2,745.03/4,117.65 = 797.25/x
  3. Step 3: Cross multiply
    2,745.03x = 4,117.65 × 797.25
  4. Step 4: Simplify right side
    2,745.03x = 3,282,796.46
  5. Step 5: Solve for x
    x = 3,282,796.46/2,745.03
  6. Step 6: Final answer
    x = 1,195.91

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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.