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Finding the Fourth Proportional to 2,792.77, 4,192.23 and 2,359.38

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Solution

The fourth proportional to 2,792.77, 4,192.23 and 2,359.38 is: 3,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.77 : 4,192.23 = 2,359.38 : x
  2. Step 2: Convert to fraction form
    2,792.77/4,192.23 = 2,359.38/x
  3. Step 3: Cross multiply
    2,792.77x = 4,192.23 × 2,359.38
  4. Step 4: Simplify right side
    2,792.77x = 9,891,057.97
  5. Step 5: Solve for x
    x = 9,891,057.97/2,792.77
  6. Step 6: Final answer
    x = 3,541.67

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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.