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Finding the Fourth Proportional to 2,604.13, 3,905.07 and 754.81

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Solution

The fourth proportional to 2,604.13, 3,905.07 and 754.81 is: 1,131.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.13 : 3,905.07 = 754.81 : x
  2. Step 2: Convert to fraction form
    2,604.13/3,905.07 = 754.81/x
  3. Step 3: Cross multiply
    2,604.13x = 3,905.07 × 754.81
  4. Step 4: Simplify right side
    2,604.13x = 2,947,585.89
  5. Step 5: Solve for x
    x = 2,947,585.89/2,604.13
  6. Step 6: Final answer
    x = 1,131.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.