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Finding the Fourth Proportional to 1,519.30, 2,280.36 and 779.44

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Solution

The fourth proportional to 1,519.30, 2,280.36 and 779.44 is: 1,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.30 : 2,280.36 = 779.44 : x
  2. Step 2: Convert to fraction form
    1,519.30/2,280.36 = 779.44/x
  3. Step 3: Cross multiply
    1,519.30x = 2,280.36 × 779.44
  4. Step 4: Simplify right side
    1,519.30x = 1,777,405.75
  5. Step 5: Solve for x
    x = 1,777,405.75/1,519.30
  6. Step 6: Final answer
    x = 1,169.89

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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.