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Finding the Fourth Proportional to 2,532.96, 3,800.03 and 801.59

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Solution

The fourth proportional to 2,532.96, 3,800.03 and 801.59 is: 1,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.96 : 3,800.03 = 801.59 : x
  2. Step 2: Convert to fraction form
    2,532.96/3,800.03 = 801.59/x
  3. Step 3: Cross multiply
    2,532.96x = 3,800.03 × 801.59
  4. Step 4: Simplify right side
    2,532.96x = 3,046,043.04
  5. Step 5: Solve for x
    x = 3,046,043.04/2,532.96
  6. Step 6: Final answer
    x = 1,202.56

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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.