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Finding the Fourth Proportional to 2,682.45, 4,023.54 and 926.91

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Solution

The fourth proportional to 2,682.45, 4,023.54 and 926.91 is: 1,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.45 : 4,023.54 = 926.91 : x
  2. Step 2: Convert to fraction form
    2,682.45/4,023.54 = 926.91/x
  3. Step 3: Cross multiply
    2,682.45x = 4,023.54 × 926.91
  4. Step 4: Simplify right side
    2,682.45x = 3,729,459.46
  5. Step 5: Solve for x
    x = 3,729,459.46/2,682.45
  6. Step 6: Final answer
    x = 1,390.32

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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.