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Finding the Fourth Proportional to 3,170, 4,745.40 and 2,180.72

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Solution

The fourth proportional to 3,170, 4,745.40 and 2,180.72 is: 3,264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170 : 4,745.40 = 2,180.72 : x
  2. Step 2: Convert to fraction form
    3,170/4,745.40 = 2,180.72/x
  3. Step 3: Cross multiply
    3,170x = 4,745.40 × 2,180.72
  4. Step 4: Simplify right side
    3,170x = 10,348,388.69
  5. Step 5: Solve for x
    x = 10,348,388.69/3,170
  6. Step 6: Final answer
    x = 3,264.48

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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.