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Finding the Fourth Proportional to 2,846.88, 3,926.90 and 1,961.16

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Solution

The fourth proportional to 2,846.88, 3,926.90 and 1,961.16 is: 2,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.88 : 3,926.90 = 1,961.16 : x
  2. Step 2: Convert to fraction form
    2,846.88/3,926.90 = 1,961.16/x
  3. Step 3: Cross multiply
    2,846.88x = 3,926.90 × 1,961.16
  4. Step 4: Simplify right side
    2,846.88x = 7,701,279.20
  5. Step 5: Solve for x
    x = 7,701,279.20/2,846.88
  6. Step 6: Final answer
    x = 2,705.16

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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.