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Finding the Fourth Proportional to 1,447.50, 1,998.09 and 1,338.42

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Solution

The fourth proportional to 1,447.50, 1,998.09 and 1,338.42 is: 1,847.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.50 : 1,998.09 = 1,338.42 : x
  2. Step 2: Convert to fraction form
    1,447.50/1,998.09 = 1,338.42/x
  3. Step 3: Cross multiply
    1,447.50x = 1,998.09 × 1,338.42
  4. Step 4: Simplify right side
    1,447.50x = 2,674,283.62
  5. Step 5: Solve for x
    x = 2,674,283.62/1,447.50
  6. Step 6: Final answer
    x = 1,847.52

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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.