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Finding the Fourth Proportional to 1,634.01, 2,253.23 and 1,539.85

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Solution

The fourth proportional to 1,634.01, 2,253.23 and 1,539.85 is: 2,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.01 : 2,253.23 = 1,539.85 : x
  2. Step 2: Convert to fraction form
    1,634.01/2,253.23 = 1,539.85/x
  3. Step 3: Cross multiply
    1,634.01x = 2,253.23 × 1,539.85
  4. Step 4: Simplify right side
    1,634.01x = 3,469,636.22
  5. Step 5: Solve for x
    x = 3,469,636.22/1,634.01
  6. Step 6: Final answer
    x = 2,123.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.