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Finding the Fourth Proportional to 1,450.57, 2,001.50 and 919.66

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Solution

The fourth proportional to 1,450.57, 2,001.50 and 919.66 is: 1,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.57 : 2,001.50 = 919.66 : x
  2. Step 2: Convert to fraction form
    1,450.57/2,001.50 = 919.66/x
  3. Step 3: Cross multiply
    1,450.57x = 2,001.50 × 919.66
  4. Step 4: Simplify right side
    1,450.57x = 1,840,694.89
  5. Step 5: Solve for x
    x = 1,840,694.89/1,450.57
  6. Step 6: Final answer
    x = 1,268.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.