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Finding the Fourth Proportional to 1,519.25, 2,277.41 and 778.86

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Solution

The fourth proportional to 1,519.25, 2,277.41 and 778.86 is: 1,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.25 : 2,277.41 = 778.86 : x
  2. Step 2: Convert to fraction form
    1,519.25/2,277.41 = 778.86/x
  3. Step 3: Cross multiply
    1,519.25x = 2,277.41 × 778.86
  4. Step 4: Simplify right side
    1,519.25x = 1,773,779.66
  5. Step 5: Solve for x
    x = 1,773,779.66/1,519.25
  6. Step 6: Final answer
    x = 1,167.54

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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.