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Finding the Fourth Proportional to 2,428.92, 3,352.23 and 1,380.78

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Solution

The fourth proportional to 2,428.92, 3,352.23 and 1,380.78 is: 1,905.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.92 : 3,352.23 = 1,380.78 : x
  2. Step 2: Convert to fraction form
    2,428.92/3,352.23 = 1,380.78/x
  3. Step 3: Cross multiply
    2,428.92x = 3,352.23 × 1,380.78
  4. Step 4: Simplify right side
    2,428.92x = 4,628,692.14
  5. Step 5: Solve for x
    x = 4,628,692.14/2,428.92
  6. Step 6: Final answer
    x = 1,905.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.