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Finding the Fourth Proportional to 1,361.85, 2,043.82 and 966.50

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Solution

The fourth proportional to 1,361.85, 2,043.82 and 966.50 is: 1,450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.85 : 2,043.82 = 966.50 : x
  2. Step 2: Convert to fraction form
    1,361.85/2,043.82 = 966.50/x
  3. Step 3: Cross multiply
    1,361.85x = 2,043.82 × 966.50
  4. Step 4: Simplify right side
    1,361.85x = 1,975,345.25
  5. Step 5: Solve for x
    x = 1,975,345.25/1,361.85
  6. Step 6: Final answer
    x = 1,450.49

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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.