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Finding the Fourth Proportional to 2,533.90, 3,801.09 and 1,052.81

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Solution

The fourth proportional to 2,533.90, 3,801.09 and 1,052.81 is: 1,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.90 : 3,801.09 = 1,052.81 : x
  2. Step 2: Convert to fraction form
    2,533.90/3,801.09 = 1,052.81/x
  3. Step 3: Cross multiply
    2,533.90x = 3,801.09 × 1,052.81
  4. Step 4: Simplify right side
    2,533.90x = 4,001,825.56
  5. Step 5: Solve for x
    x = 4,001,825.56/2,533.90
  6. Step 6: Final answer
    x = 1,579.31

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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.