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Finding the Fourth Proportional to 2,033.16, 3,049.76 and 734.63

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Solution

The fourth proportional to 2,033.16, 3,049.76 and 734.63 is: 1,101.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.16 : 3,049.76 = 734.63 : x
  2. Step 2: Convert to fraction form
    2,033.16/3,049.76 = 734.63/x
  3. Step 3: Cross multiply
    2,033.16x = 3,049.76 × 734.63
  4. Step 4: Simplify right side
    2,033.16x = 2,240,426.27
  5. Step 5: Solve for x
    x = 2,240,426.27/2,033.16
  6. Step 6: Final answer
    x = 1,101.94

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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.