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Finding the Fourth Proportional to 1,450.56, 2,167.01 and 926.36

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Solution

The fourth proportional to 1,450.56, 2,167.01 and 926.36 is: 1,383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.56 : 2,167.01 = 926.36 : x
  2. Step 2: Convert to fraction form
    1,450.56/2,167.01 = 926.36/x
  3. Step 3: Cross multiply
    1,450.56x = 2,167.01 × 926.36
  4. Step 4: Simplify right side
    1,450.56x = 2,007,422.86
  5. Step 5: Solve for x
    x = 2,007,422.86/1,450.56
  6. Step 6: Final answer
    x = 1,383.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.