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Finding the Fourth Proportional to 1,519.72, 2,279.61 and 788.90

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Solution

The fourth proportional to 1,519.72, 2,279.61 and 788.90 is: 1,183.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.72 : 2,279.61 = 788.90 : x
  2. Step 2: Convert to fraction form
    1,519.72/2,279.61 = 788.90/x
  3. Step 3: Cross multiply
    1,519.72x = 2,279.61 × 788.90
  4. Step 4: Simplify right side
    1,519.72x = 1,798,372.93
  5. Step 5: Solve for x
    x = 1,798,372.93/1,519.72
  6. Step 6: Final answer
    x = 1,183.36

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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.