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Finding the Fourth Proportional to 3,189.75, 4,402.26 and 1,792.50

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Solution

The fourth proportional to 3,189.75, 4,402.26 and 1,792.50 is: 2,473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.75 : 4,402.26 = 1,792.50 : x
  2. Step 2: Convert to fraction form
    3,189.75/4,402.26 = 1,792.50/x
  3. Step 3: Cross multiply
    3,189.75x = 4,402.26 × 1,792.50
  4. Step 4: Simplify right side
    3,189.75x = 7,891,051.05
  5. Step 5: Solve for x
    x = 7,891,051.05/3,189.75
  6. Step 6: Final answer
    x = 2,473.88

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