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Finding the Fourth Proportional to 2,764.74, 3,812.63 and 2,346.24

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Solution

The fourth proportional to 2,764.74, 3,812.63 and 2,346.24 is: 3,235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.74 : 3,812.63 = 2,346.24 : x
  2. Step 2: Convert to fraction form
    2,764.74/3,812.63 = 2,346.24/x
  3. Step 3: Cross multiply
    2,764.74x = 3,812.63 × 2,346.24
  4. Step 4: Simplify right side
    2,764.74x = 8,945,333.28
  5. Step 5: Solve for x
    x = 8,945,333.28/2,764.74
  6. Step 6: Final answer
    x = 3,235.51

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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.