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Finding the Fourth Proportional to 2,443.47, 3,665.37 and 982.64

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Solution

The fourth proportional to 2,443.47, 3,665.37 and 982.64 is: 1,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.47 : 3,665.37 = 982.64 : x
  2. Step 2: Convert to fraction form
    2,443.47/3,665.37 = 982.64/x
  3. Step 3: Cross multiply
    2,443.47x = 3,665.37 × 982.64
  4. Step 4: Simplify right side
    2,443.47x = 3,601,720.85
  5. Step 5: Solve for x
    x = 3,601,720.85/2,443.47
  6. Step 6: Final answer
    x = 1,474.02

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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.