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Finding the Fourth Proportional to 2,738.06, 3,776.64 and 1,794.50

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Solution

The fourth proportional to 2,738.06, 3,776.64 and 1,794.50 is: 2,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.06 : 3,776.64 = 1,794.50 : x
  2. Step 2: Convert to fraction form
    2,738.06/3,776.64 = 1,794.50/x
  3. Step 3: Cross multiply
    2,738.06x = 3,776.64 × 1,794.50
  4. Step 4: Simplify right side
    2,738.06x = 6,777,180.48
  5. Step 5: Solve for x
    x = 6,777,180.48/2,738.06
  6. Step 6: Final answer
    x = 2,475.18

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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.