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Finding the Fourth Proportional to 1,361.37, 2,039.43 and 839.83

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Solution

The fourth proportional to 1,361.37, 2,039.43 and 839.83 is: 1,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.37 : 2,039.43 = 839.83 : x
  2. Step 2: Convert to fraction form
    1,361.37/2,039.43 = 839.83/x
  3. Step 3: Cross multiply
    1,361.37x = 2,039.43 × 839.83
  4. Step 4: Simplify right side
    1,361.37x = 1,712,774.50
  5. Step 5: Solve for x
    x = 1,712,774.50/1,361.37
  6. Step 6: Final answer
    x = 1,258.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.