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Finding the Fourth Proportional to 2,147.62, 2,961.93 and 1,401.22

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Solution

The fourth proportional to 2,147.62, 2,961.93 and 1,401.22 is: 1,932.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.62 : 2,961.93 = 1,401.22 : x
  2. Step 2: Convert to fraction form
    2,147.62/2,961.93 = 1,401.22/x
  3. Step 3: Cross multiply
    2,147.62x = 2,961.93 × 1,401.22
  4. Step 4: Simplify right side
    2,147.62x = 4,150,315.55
  5. Step 5: Solve for x
    x = 4,150,315.55/2,147.62
  6. Step 6: Final answer
    x = 1,932.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.