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Finding the Fourth Proportional to 2,612.57, 3,918.98 and 857.75

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Solution

The fourth proportional to 2,612.57, 3,918.98 and 857.75 is: 1,286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.57 : 3,918.98 = 857.75 : x
  2. Step 2: Convert to fraction form
    2,612.57/3,918.98 = 857.75/x
  3. Step 3: Cross multiply
    2,612.57x = 3,918.98 × 857.75
  4. Step 4: Simplify right side
    2,612.57x = 3,361,487.64
  5. Step 5: Solve for x
    x = 3,361,487.64/2,612.57
  6. Step 6: Final answer
    x = 1,286.66

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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.