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Finding the Fourth Proportional to 1,425.24, 2,138.30 and 863.01

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Solution

The fourth proportional to 1,425.24, 2,138.30 and 863.01 is: 1,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.24 : 2,138.30 = 863.01 : x
  2. Step 2: Convert to fraction form
    1,425.24/2,138.30 = 863.01/x
  3. Step 3: Cross multiply
    1,425.24x = 2,138.30 × 863.01
  4. Step 4: Simplify right side
    1,425.24x = 1,845,369.97
  5. Step 5: Solve for x
    x = 1,845,369.97/1,425.24
  6. Step 6: Final answer
    x = 1,294.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.