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Finding the Fourth Proportional to 1,380.70, 2,068.35 and 943.30

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Solution

The fourth proportional to 1,380.70, 2,068.35 and 943.30 is: 1,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.70 : 2,068.35 = 943.30 : x
  2. Step 2: Convert to fraction form
    1,380.70/2,068.35 = 943.30/x
  3. Step 3: Cross multiply
    1,380.70x = 2,068.35 × 943.30
  4. Step 4: Simplify right side
    1,380.70x = 1,951,074.56
  5. Step 5: Solve for x
    x = 1,951,074.56/1,380.70
  6. Step 6: Final answer
    x = 1,413.11

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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.