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Finding the Fourth Proportional to 2,309.82, 3,465.15 and 850.02

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Solution

The fourth proportional to 2,309.82, 3,465.15 and 850.02 is: 1,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.82 : 3,465.15 = 850.02 : x
  2. Step 2: Convert to fraction form
    2,309.82/3,465.15 = 850.02/x
  3. Step 3: Cross multiply
    2,309.82x = 3,465.15 × 850.02
  4. Step 4: Simplify right side
    2,309.82x = 2,945,446.80
  5. Step 5: Solve for x
    x = 2,945,446.80/2,309.82
  6. Step 6: Final answer
    x = 1,275.18

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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.