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Finding the Fourth Proportional to 2,087.85, 3,131.16 and 626.61

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Solution

The fourth proportional to 2,087.85, 3,131.16 and 626.61 is: 939.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.85 : 3,131.16 = 626.61 : x
  2. Step 2: Convert to fraction form
    2,087.85/3,131.16 = 626.61/x
  3. Step 3: Cross multiply
    2,087.85x = 3,131.16 × 626.61
  4. Step 4: Simplify right side
    2,087.85x = 1,962,016.17
  5. Step 5: Solve for x
    x = 1,962,016.17/2,087.85
  6. Step 6: Final answer
    x = 939.73

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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.