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Finding the Fourth Proportional to 2,134.83, 3,202.89 and 1,039.26

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Solution

The fourth proportional to 2,134.83, 3,202.89 and 1,039.26 is: 1,559.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.83 : 3,202.89 = 1,039.26 : x
  2. Step 2: Convert to fraction form
    2,134.83/3,202.89 = 1,039.26/x
  3. Step 3: Cross multiply
    2,134.83x = 3,202.89 × 1,039.26
  4. Step 4: Simplify right side
    2,134.83x = 3,328,635.46
  5. Step 5: Solve for x
    x = 3,328,635.46/2,134.83
  6. Step 6: Final answer
    x = 1,559.20

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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.