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Finding the Fourth Proportional to 2,792.70, 4,185.45 and 2,140.20

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Solution

The fourth proportional to 2,792.70, 4,185.45 and 2,140.20 is: 3,207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.70 : 4,185.45 = 2,140.20 : x
  2. Step 2: Convert to fraction form
    2,792.70/4,185.45 = 2,140.20/x
  3. Step 3: Cross multiply
    2,792.70x = 4,185.45 × 2,140.20
  4. Step 4: Simplify right side
    2,792.70x = 8,957,700.09
  5. Step 5: Solve for x
    x = 8,957,700.09/2,792.70
  6. Step 6: Final answer
    x = 3,207.54

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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.