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Finding the Fourth Proportional to 2,134.86, 3,202.83 and 835.89

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Solution

The fourth proportional to 2,134.86, 3,202.83 and 835.89 is: 1,254.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.86 : 3,202.83 = 835.89 : x
  2. Step 2: Convert to fraction form
    2,134.86/3,202.83 = 835.89/x
  3. Step 3: Cross multiply
    2,134.86x = 3,202.83 × 835.89
  4. Step 4: Simplify right side
    2,134.86x = 2,677,213.57
  5. Step 5: Solve for x
    x = 2,677,213.57/2,134.86
  6. Step 6: Final answer
    x = 1,254.05

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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.