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Finding the Fourth Proportional to 2,604.15, 3,905.97 and 1,433.77

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Solution

The fourth proportional to 2,604.15, 3,905.97 and 1,433.77 is: 2,150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.15 : 3,905.97 = 1,433.77 : x
  2. Step 2: Convert to fraction form
    2,604.15/3,905.97 = 1,433.77/x
  3. Step 3: Cross multiply
    2,604.15x = 3,905.97 × 1,433.77
  4. Step 4: Simplify right side
    2,604.15x = 5,600,262.61
  5. Step 5: Solve for x
    x = 5,600,262.61/2,604.15
  6. Step 6: Final answer
    x = 2,150.51

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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.