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Finding the Fourth Proportional to 2,134.03, 3,200.09 and 835.15

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Solution

The fourth proportional to 2,134.03, 3,200.09 and 835.15 is: 1,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.03 : 3,200.09 = 835.15 : x
  2. Step 2: Convert to fraction form
    2,134.03/3,200.09 = 835.15/x
  3. Step 3: Cross multiply
    2,134.03x = 3,200.09 × 835.15
  4. Step 4: Simplify right side
    2,134.03x = 2,672,550.99
  5. Step 5: Solve for x
    x = 2,672,550.99/2,134.03
  6. Step 6: Final answer
    x = 1,252.35

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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.