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Finding the Fourth Proportional to 1,519.60, 2,280.84 and 789.70

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Solution

The fourth proportional to 1,519.60, 2,280.84 and 789.70 is: 1,185.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.60 : 2,280.84 = 789.70 : x
  2. Step 2: Convert to fraction form
    1,519.60/2,280.84 = 789.70/x
  3. Step 3: Cross multiply
    1,519.60x = 2,280.84 × 789.70
  4. Step 4: Simplify right side
    1,519.60x = 1,801,179.35
  5. Step 5: Solve for x
    x = 1,801,179.35/1,519.60
  6. Step 6: Final answer
    x = 1,185.30

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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.