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Finding the Fourth Proportional to 2,120.64, 3,175.56 and 2,046.48

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Solution

The fourth proportional to 2,120.64, 3,175.56 and 2,046.48 is: 3,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.64 : 3,175.56 = 2,046.48 : x
  2. Step 2: Convert to fraction form
    2,120.64/3,175.56 = 2,046.48/x
  3. Step 3: Cross multiply
    2,120.64x = 3,175.56 × 2,046.48
  4. Step 4: Simplify right side
    2,120.64x = 6,498,720.03
  5. Step 5: Solve for x
    x = 6,498,720.03/2,120.64
  6. Step 6: Final answer
    x = 3,064.51

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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.