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Finding the Fourth Proportional to 1,919.28, 2,878.89 and 765.03

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Solution

The fourth proportional to 1,919.28, 2,878.89 and 765.03 is: 1,147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.28 : 2,878.89 = 765.03 : x
  2. Step 2: Convert to fraction form
    1,919.28/2,878.89 = 765.03/x
  3. Step 3: Cross multiply
    1,919.28x = 2,878.89 × 765.03
  4. Step 4: Simplify right side
    1,919.28x = 2,202,437.22
  5. Step 5: Solve for x
    x = 2,202,437.22/1,919.28
  6. Step 6: Final answer
    x = 1,147.53

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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.