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Finding the Fourth Proportional to 1,528.77, 2,294.22 and 1,163.97

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Solution

The fourth proportional to 1,528.77, 2,294.22 and 1,163.97 is: 1,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.77 : 2,294.22 = 1,163.97 : x
  2. Step 2: Convert to fraction form
    1,528.77/2,294.22 = 1,163.97/x
  3. Step 3: Cross multiply
    1,528.77x = 2,294.22 × 1,163.97
  4. Step 4: Simplify right side
    1,528.77x = 2,670,407.62
  5. Step 5: Solve for x
    x = 2,670,407.62/1,528.77
  6. Step 6: Final answer
    x = 1,746.76

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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.