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Finding the Fourth Proportional to 2,041.60, 3,042.80 and 1,997.68

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Solution

The fourth proportional to 2,041.60, 3,042.80 and 1,997.68 is: 2,977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.60 : 3,042.80 = 1,997.68 : x
  2. Step 2: Convert to fraction form
    2,041.60/3,042.80 = 1,997.68/x
  3. Step 3: Cross multiply
    2,041.60x = 3,042.80 × 1,997.68
  4. Step 4: Simplify right side
    2,041.60x = 6,078,540.70
  5. Step 5: Solve for x
    x = 6,078,540.70/2,041.60
  6. Step 6: Final answer
    x = 2,977.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.