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Finding the Fourth Proportional to 1,450.28, 2,002.44 and 891.51

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Solution

The fourth proportional to 1,450.28, 2,002.44 and 891.51 is: 1,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.28 : 2,002.44 = 891.51 : x
  2. Step 2: Convert to fraction form
    1,450.28/2,002.44 = 891.51/x
  3. Step 3: Cross multiply
    1,450.28x = 2,002.44 × 891.51
  4. Step 4: Simplify right side
    1,450.28x = 1,785,195.28
  5. Step 5: Solve for x
    x = 1,785,195.28/1,450.28
  6. Step 6: Final answer
    x = 1,230.93

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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.