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Finding the Fourth Proportional to 2,738.95, 3,776.46 and 1,900.37

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Solution

The fourth proportional to 2,738.95, 3,776.46 and 1,900.37 is: 2,620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.95 : 3,776.46 = 1,900.37 : x
  2. Step 2: Convert to fraction form
    2,738.95/3,776.46 = 1,900.37/x
  3. Step 3: Cross multiply
    2,738.95x = 3,776.46 × 1,900.37
  4. Step 4: Simplify right side
    2,738.95x = 7,176,673.60
  5. Step 5: Solve for x
    x = 7,176,673.60/2,738.95
  6. Step 6: Final answer
    x = 2,620.23

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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.