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Finding the Fourth Proportional to 2,512.17, 3,768.26 and 1,646.28

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Solution

The fourth proportional to 2,512.17, 3,768.26 and 1,646.28 is: 2,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.17 : 3,768.26 = 1,646.28 : x
  2. Step 2: Convert to fraction form
    2,512.17/3,768.26 = 1,646.28/x
  3. Step 3: Cross multiply
    2,512.17x = 3,768.26 × 1,646.28
  4. Step 4: Simplify right side
    2,512.17x = 6,203,602.84
  5. Step 5: Solve for x
    x = 6,203,602.84/2,512.17
  6. Step 6: Final answer
    x = 2,469.42

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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.