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Finding the Fourth Proportional to 3,441.84, 5,164.88 and 1,361.49

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Solution

The fourth proportional to 3,441.84, 5,164.88 and 1,361.49 is: 2,043.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.84 : 5,164.88 = 1,361.49 : x
  2. Step 2: Convert to fraction form
    3,441.84/5,164.88 = 1,361.49/x
  3. Step 3: Cross multiply
    3,441.84x = 5,164.88 × 1,361.49
  4. Step 4: Simplify right side
    3,441.84x = 7,031,925.66
  5. Step 5: Solve for x
    x = 7,031,925.66/3,441.84
  6. Step 6: Final answer
    x = 2,043.07

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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.