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Finding the Fourth Proportional to 1,236.81, 1,852.43 and 868.26

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Solution

The fourth proportional to 1,236.81, 1,852.43 and 868.26 is: 1,300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.81 : 1,852.43 = 868.26 : x
  2. Step 2: Convert to fraction form
    1,236.81/1,852.43 = 868.26/x
  3. Step 3: Cross multiply
    1,236.81x = 1,852.43 × 868.26
  4. Step 4: Simplify right side
    1,236.81x = 1,608,386.53
  5. Step 5: Solve for x
    x = 1,608,386.53/1,236.81
  6. Step 6: Final answer
    x = 1,300.43

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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.