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Finding the Fourth Proportional to 3,443.02, 5,164.94 and 1,982.18

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Solution

The fourth proportional to 3,443.02, 5,164.94 and 1,982.18 is: 2,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.02 : 5,164.94 = 1,982.18 : x
  2. Step 2: Convert to fraction form
    3,443.02/5,164.94 = 1,982.18/x
  3. Step 3: Cross multiply
    3,443.02x = 5,164.94 × 1,982.18
  4. Step 4: Simplify right side
    3,443.02x = 10,237,840.77
  5. Step 5: Solve for x
    x = 10,237,840.77/3,443.02
  6. Step 6: Final answer
    x = 2,973.51

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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.