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Finding the Fourth Proportional to 2,172.89, 3,255.09 and 1,073.93

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Solution

The fourth proportional to 2,172.89, 3,255.09 and 1,073.93 is: 1,608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.89 : 3,255.09 = 1,073.93 : x
  2. Step 2: Convert to fraction form
    2,172.89/3,255.09 = 1,073.93/x
  3. Step 3: Cross multiply
    2,172.89x = 3,255.09 × 1,073.93
  4. Step 4: Simplify right side
    2,172.89x = 3,495,718.50
  5. Step 5: Solve for x
    x = 3,495,718.50/2,172.89
  6. Step 6: Final answer
    x = 1,608.79

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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.