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Finding the Fourth Proportional to 2,033.20, 3,050.24 and 734.66

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Solution

The fourth proportional to 2,033.20, 3,050.24 and 734.66 is: 1,102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.20 : 3,050.24 = 734.66 : x
  2. Step 2: Convert to fraction form
    2,033.20/3,050.24 = 734.66/x
  3. Step 3: Cross multiply
    2,033.20x = 3,050.24 × 734.66
  4. Step 4: Simplify right side
    2,033.20x = 2,240,889.32
  5. Step 5: Solve for x
    x = 2,240,889.32/2,033.20
  6. Step 6: Final answer
    x = 1,102.15

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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.