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Finding the Fourth Proportional to 2,134.25, 3,201.41 and 595.25

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Solution

The fourth proportional to 2,134.25, 3,201.41 and 595.25 is: 892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.25 : 3,201.41 = 595.25 : x
  2. Step 2: Convert to fraction form
    2,134.25/3,201.41 = 595.25/x
  3. Step 3: Cross multiply
    2,134.25x = 3,201.41 × 595.25
  4. Step 4: Simplify right side
    2,134.25x = 1,905,639.30
  5. Step 5: Solve for x
    x = 1,905,639.30/2,134.25
  6. Step 6: Final answer
    x = 892.88

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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.