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Finding the Fourth Proportional to 2,100.53, 3,149.89 and 930.49

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Solution

The fourth proportional to 2,100.53, 3,149.89 and 930.49 is: 1,395.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.53 : 3,149.89 = 930.49 : x
  2. Step 2: Convert to fraction form
    2,100.53/3,149.89 = 930.49/x
  3. Step 3: Cross multiply
    2,100.53x = 3,149.89 × 930.49
  4. Step 4: Simplify right side
    2,100.53x = 2,930,930.95
  5. Step 5: Solve for x
    x = 2,930,930.95/2,100.53
  6. Step 6: Final answer
    x = 1,395.33

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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.