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Finding the Fourth Proportional to 2,532.89, 3,794.47 and 1,433.99

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Solution

The fourth proportional to 2,532.89, 3,794.47 and 1,433.99 is: 2,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.89 : 3,794.47 = 1,433.99 : x
  2. Step 2: Convert to fraction form
    2,532.89/3,794.47 = 1,433.99/x
  3. Step 3: Cross multiply
    2,532.89x = 3,794.47 × 1,433.99
  4. Step 4: Simplify right side
    2,532.89x = 5,441,232.04
  5. Step 5: Solve for x
    x = 5,441,232.04/2,532.89
  6. Step 6: Final answer
    x = 2,148.23

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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.