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Finding the Fourth Proportional to 2,066.87, 3,102.75 and 835.18

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Solution

The fourth proportional to 2,066.87, 3,102.75 and 835.18 is: 1,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.87 : 3,102.75 = 835.18 : x
  2. Step 2: Convert to fraction form
    2,066.87/3,102.75 = 835.18/x
  3. Step 3: Cross multiply
    2,066.87x = 3,102.75 × 835.18
  4. Step 4: Simplify right side
    2,066.87x = 2,591,346.99
  5. Step 5: Solve for x
    x = 2,591,346.99/2,066.87
  6. Step 6: Final answer
    x = 1,253.75

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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.