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Finding the Fourth Proportional to 2,068.57, 3,105.07 and 836.79

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Solution

The fourth proportional to 2,068.57, 3,105.07 and 836.79 is: 1,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.57 : 3,105.07 = 836.79 : x
  2. Step 2: Convert to fraction form
    2,068.57/3,105.07 = 836.79/x
  3. Step 3: Cross multiply
    2,068.57x = 3,105.07 × 836.79
  4. Step 4: Simplify right side
    2,068.57x = 2,598,277.79
  5. Step 5: Solve for x
    x = 2,598,277.79/2,068.57
  6. Step 6: Final answer
    x = 1,256.07

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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.