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Finding the Fourth Proportional to 2,810.24, 4,183.06 and 2,768.66

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Solution

The fourth proportional to 2,810.24, 4,183.06 and 2,768.66 is: 4,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.24 : 4,183.06 = 2,768.66 : x
  2. Step 2: Convert to fraction form
    2,810.24/4,183.06 = 2,768.66/x
  3. Step 3: Cross multiply
    2,810.24x = 4,183.06 × 2,768.66
  4. Step 4: Simplify right side
    2,810.24x = 11,581,470.90
  5. Step 5: Solve for x
    x = 11,581,470.90/2,810.24
  6. Step 6: Final answer
    x = 4,121.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.