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Finding the Fourth Proportional to 2,234.71, 3,350.53 and 1,136.95

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Solution

The fourth proportional to 2,234.71, 3,350.53 and 1,136.95 is: 1,704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.71 : 3,350.53 = 1,136.95 : x
  2. Step 2: Convert to fraction form
    2,234.71/3,350.53 = 1,136.95/x
  3. Step 3: Cross multiply
    2,234.71x = 3,350.53 × 1,136.95
  4. Step 4: Simplify right side
    2,234.71x = 3,809,385.08
  5. Step 5: Solve for x
    x = 3,809,385.08/2,234.71
  6. Step 6: Final answer
    x = 1,704.64

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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.