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Finding the Fourth Proportional to 2,630.24, 3,944.88 and 682.32

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Solution

The fourth proportional to 2,630.24, 3,944.88 and 682.32 is: 1,023.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.24 : 3,944.88 = 682.32 : x
  2. Step 2: Convert to fraction form
    2,630.24/3,944.88 = 682.32/x
  3. Step 3: Cross multiply
    2,630.24x = 3,944.88 × 682.32
  4. Step 4: Simplify right side
    2,630.24x = 2,691,670.52
  5. Step 5: Solve for x
    x = 2,691,670.52/2,630.24
  6. Step 6: Final answer
    x = 1,023.36

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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.