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Finding the Fourth Proportional to 2,061.09, 3,093.84 and 829.35

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Solution

The fourth proportional to 2,061.09, 3,093.84 and 829.35 is: 1,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.09 : 3,093.84 = 829.35 : x
  2. Step 2: Convert to fraction form
    2,061.09/3,093.84 = 829.35/x
  3. Step 3: Cross multiply
    2,061.09x = 3,093.84 × 829.35
  4. Step 4: Simplify right side
    2,061.09x = 2,565,876.20
  5. Step 5: Solve for x
    x = 2,565,876.20/2,061.09
  6. Step 6: Final answer
    x = 1,244.91

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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.