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Finding the Fourth Proportional to 2,146.92, 2,961.54 and 1,401

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Solution

The fourth proportional to 2,146.92, 2,961.54 and 1,401 is: 1,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.92 : 2,961.54 = 1,401 : x
  2. Step 2: Convert to fraction form
    2,146.92/2,961.54 = 1,401/x
  3. Step 3: Cross multiply
    2,146.92x = 2,961.54 × 1,401
  4. Step 4: Simplify right side
    2,146.92x = 4,149,117.54
  5. Step 5: Solve for x
    x = 4,149,117.54/2,146.92
  6. Step 6: Final answer
    x = 1,932.59

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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.