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Finding the Fourth Proportional to 2,033, 3,047.69 and 734.18

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Solution

The fourth proportional to 2,033, 3,047.69 and 734.18 is: 1,100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033 : 3,047.69 = 734.18 : x
  2. Step 2: Convert to fraction form
    2,033/3,047.69 = 734.18/x
  3. Step 3: Cross multiply
    2,033x = 3,047.69 × 734.18
  4. Step 4: Simplify right side
    2,033x = 2,237,553.04
  5. Step 5: Solve for x
    x = 2,237,553.04/2,033
  6. Step 6: Final answer
    x = 1,100.62

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Why These Related Problems?

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