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Finding the Fourth Proportional to 2,568.40, 3,851.75 and 836.62

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Solution

The fourth proportional to 2,568.40, 3,851.75 and 836.62 is: 1,254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.40 : 3,851.75 = 836.62 : x
  2. Step 2: Convert to fraction form
    2,568.40/3,851.75 = 836.62/x
  3. Step 3: Cross multiply
    2,568.40x = 3,851.75 × 836.62
  4. Step 4: Simplify right side
    2,568.40x = 3,222,451.09
  5. Step 5: Solve for x
    x = 3,222,451.09/2,568.40
  6. Step 6: Final answer
    x = 1,254.65

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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.