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Finding the Fourth Proportional to 1,491.11, 2,234.97 and 759.14

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Solution

The fourth proportional to 1,491.11, 2,234.97 and 759.14 is: 1,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.11 : 2,234.97 = 759.14 : x
  2. Step 2: Convert to fraction form
    1,491.11/2,234.97 = 759.14/x
  3. Step 3: Cross multiply
    1,491.11x = 2,234.97 × 759.14
  4. Step 4: Simplify right side
    1,491.11x = 1,696,643.95
  5. Step 5: Solve for x
    x = 1,696,643.95/1,491.11
  6. Step 6: Final answer
    x = 1,137.84

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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.