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Finding the Fourth Proportional to 2,100.44, 3,148.50 and 801.56

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Solution

The fourth proportional to 2,100.44, 3,148.50 and 801.56 is: 1,201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.44 : 3,148.50 = 801.56 : x
  2. Step 2: Convert to fraction form
    2,100.44/3,148.50 = 801.56/x
  3. Step 3: Cross multiply
    2,100.44x = 3,148.50 × 801.56
  4. Step 4: Simplify right side
    2,100.44x = 2,523,711.66
  5. Step 5: Solve for x
    x = 2,523,711.66/2,100.44
  6. Step 6: Final answer
    x = 1,201.52

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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.