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Finding the Fourth Proportional to 3,026.82, 4,542.28 and 1,640.60

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Solution

The fourth proportional to 3,026.82, 4,542.28 and 1,640.60 is: 2,462.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.82 : 4,542.28 = 1,640.60 : x
  2. Step 2: Convert to fraction form
    3,026.82/4,542.28 = 1,640.60/x
  3. Step 3: Cross multiply
    3,026.82x = 4,542.28 × 1,640.60
  4. Step 4: Simplify right side
    3,026.82x = 7,452,080.34
  5. Step 5: Solve for x
    x = 7,452,080.34/3,026.82
  6. Step 6: Final answer
    x = 2,462.02

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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.