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Finding the Fourth Proportional to 1,436.82, 2,149.78 and 852.13

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Solution

The fourth proportional to 1,436.82, 2,149.78 and 852.13 is: 1,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.82 : 2,149.78 = 852.13 : x
  2. Step 2: Convert to fraction form
    1,436.82/2,149.78 = 852.13/x
  3. Step 3: Cross multiply
    1,436.82x = 2,149.78 × 852.13
  4. Step 4: Simplify right side
    1,436.82x = 1,831,892.03
  5. Step 5: Solve for x
    x = 1,831,892.03/1,436.82
  6. Step 6: Final answer
    x = 1,274.96

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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.