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Finding the Fourth Proportional to 2,102.33, 3,153.98 and 641.60

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Solution

The fourth proportional to 2,102.33, 3,153.98 and 641.60 is: 962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.33 : 3,153.98 = 641.60 : x
  2. Step 2: Convert to fraction form
    2,102.33/3,153.98 = 641.60/x
  3. Step 3: Cross multiply
    2,102.33x = 3,153.98 × 641.60
  4. Step 4: Simplify right side
    2,102.33x = 2,023,593.57
  5. Step 5: Solve for x
    x = 2,023,593.57/2,102.33
  6. Step 6: Final answer
    x = 962.55

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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.