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Finding the Fourth Proportional to 2,840.56, 4,251.62 and 2,446.90

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Solution

The fourth proportional to 2,840.56, 4,251.62 and 2,446.90 is: 3,662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.56 : 4,251.62 = 2,446.90 : x
  2. Step 2: Convert to fraction form
    2,840.56/4,251.62 = 2,446.90/x
  3. Step 3: Cross multiply
    2,840.56x = 4,251.62 × 2,446.90
  4. Step 4: Simplify right side
    2,840.56x = 10,403,284.47
  5. Step 5: Solve for x
    x = 10,403,284.47/2,840.56
  6. Step 6: Final answer
    x = 3,662.41

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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.