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Finding the Fourth Proportional to 2,134, 3,201.12 and 595.12

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Solution

The fourth proportional to 2,134, 3,201.12 and 595.12 is: 892.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134 : 3,201.12 = 595.12 : x
  2. Step 2: Convert to fraction form
    2,134/3,201.12 = 595.12/x
  3. Step 3: Cross multiply
    2,134x = 3,201.12 × 595.12
  4. Step 4: Simplify right side
    2,134x = 1,905,050.53
  5. Step 5: Solve for x
    x = 1,905,050.53/2,134
  6. Step 6: Final answer
    x = 892.71

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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.