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Finding the Fourth Proportional to 2,532.94, 3,799.41 and 801.56

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Solution

The fourth proportional to 2,532.94, 3,799.41 and 801.56 is: 1,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.94 : 3,799.41 = 801.56 : x
  2. Step 2: Convert to fraction form
    2,532.94/3,799.41 = 801.56/x
  3. Step 3: Cross multiply
    2,532.94x = 3,799.41 × 801.56
  4. Step 4: Simplify right side
    2,532.94x = 3,045,461.57
  5. Step 5: Solve for x
    x = 3,045,461.57/2,532.94
  6. Step 6: Final answer
    x = 1,202.34

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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.