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Finding the Fourth Proportional to 2,644.83, 3,961.66 and 2,122.00

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Solution

The fourth proportional to 2,644.83, 3,961.66 and 2,122.00 is: 3,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.83 : 3,961.66 = 2,122.00 : x
  2. Step 2: Convert to fraction form
    2,644.83/3,961.66 = 2,122.00/x
  3. Step 3: Cross multiply
    2,644.83x = 3,961.66 × 2,122.00
  4. Step 4: Simplify right side
    2,644.83x = 8,406,631.29
  5. Step 5: Solve for x
    x = 8,406,631.29/2,644.83
  6. Step 6: Final answer
    x = 3,178.52

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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.