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Finding the Fourth Proportional to 2,532.99, 3,799.42 and 1,422.41

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Solution

The fourth proportional to 2,532.99, 3,799.42 and 1,422.41 is: 2,133.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.99 : 3,799.42 = 1,422.41 : x
  2. Step 2: Convert to fraction form
    2,532.99/3,799.42 = 1,422.41/x
  3. Step 3: Cross multiply
    2,532.99x = 3,799.42 × 1,422.41
  4. Step 4: Simplify right side
    2,532.99x = 5,404,333.00
  5. Step 5: Solve for x
    x = 5,404,333.00/2,532.99
  6. Step 6: Final answer
    x = 2,133.58

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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.