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Finding the Fourth Proportional to 1,361.42, 2,040.73 and 922.71

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Solution

The fourth proportional to 1,361.42, 2,040.73 and 922.71 is: 1,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.42 : 2,040.73 = 922.71 : x
  2. Step 2: Convert to fraction form
    1,361.42/2,040.73 = 922.71/x
  3. Step 3: Cross multiply
    1,361.42x = 2,040.73 × 922.71
  4. Step 4: Simplify right side
    1,361.42x = 1,883,001.98
  5. Step 5: Solve for x
    x = 1,883,001.98/1,361.42
  6. Step 6: Final answer
    x = 1,383.12

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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.