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Finding the Fourth Proportional to 2,793.71, 4,191.48 and 1,406.33

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Solution

The fourth proportional to 2,793.71, 4,191.48 and 1,406.33 is: 2,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.71 : 4,191.48 = 1,406.33 : x
  2. Step 2: Convert to fraction form
    2,793.71/4,191.48 = 1,406.33/x
  3. Step 3: Cross multiply
    2,793.71x = 4,191.48 × 1,406.33
  4. Step 4: Simplify right side
    2,793.71x = 5,894,604.07
  5. Step 5: Solve for x
    x = 5,894,604.07/2,793.71
  6. Step 6: Final answer
    x = 2,109.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.