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Finding the Fourth Proportional to 2,741.80, 3,785.10 and 1,903.96

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Solution

The fourth proportional to 2,741.80, 3,785.10 and 1,903.96 is: 2,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.80 : 3,785.10 = 1,903.96 : x
  2. Step 2: Convert to fraction form
    2,741.80/3,785.10 = 1,903.96/x
  3. Step 3: Cross multiply
    2,741.80x = 3,785.10 × 1,903.96
  4. Step 4: Simplify right side
    2,741.80x = 7,206,679.00
  5. Step 5: Solve for x
    x = 7,206,679.00/2,741.80
  6. Step 6: Final answer
    x = 2,628.45

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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.