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Finding the Fourth Proportional to 2,509.98, 3,764.35 and 1,193.14

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Solution

The fourth proportional to 2,509.98, 3,764.35 and 1,193.14 is: 1,789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.98 : 3,764.35 = 1,193.14 : x
  2. Step 2: Convert to fraction form
    2,509.98/3,764.35 = 1,193.14/x
  3. Step 3: Cross multiply
    2,509.98x = 3,764.35 × 1,193.14
  4. Step 4: Simplify right side
    2,509.98x = 4,491,396.56
  5. Step 5: Solve for x
    x = 4,491,396.56/2,509.98
  6. Step 6: Final answer
    x = 1,789.42

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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.