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Finding the Fourth Proportional to 1,519.30, 2,277.93 and 779.36

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Solution

The fourth proportional to 1,519.30, 2,277.93 and 779.36 is: 1,168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.30 : 2,277.93 = 779.36 : x
  2. Step 2: Convert to fraction form
    1,519.30/2,277.93 = 779.36/x
  3. Step 3: Cross multiply
    1,519.30x = 2,277.93 × 779.36
  4. Step 4: Simplify right side
    1,519.30x = 1,775,327.52
  5. Step 5: Solve for x
    x = 1,775,327.52/1,519.30
  6. Step 6: Final answer
    x = 1,168.52

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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.