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Finding the Fourth Proportional to 7,193.50, 10,790.25 and 1,999.42

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Solution

The fourth proportional to 7,193.50, 10,790.25 and 1,999.42 is: 2,999.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.50 : 10,790.25 = 1,999.42 : x
  2. Step 2: Convert to fraction form
    7,193.50/10,790.25 = 1,999.42/x
  3. Step 3: Cross multiply
    7,193.50x = 10,790.25 × 1,999.42
  4. Step 4: Simplify right side
    7,193.50x = 21,574,241.66
  5. Step 5: Solve for x
    x = 21,574,241.66/7,193.50
  6. Step 6: Final answer
    x = 2,999.13

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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.