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Finding the Fourth Proportional to 3,218.77, 4,833.60 and 1,760.77

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Solution

The fourth proportional to 3,218.77, 4,833.60 and 1,760.77 is: 2,644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.77 : 4,833.60 = 1,760.77 : x
  2. Step 2: Convert to fraction form
    3,218.77/4,833.60 = 1,760.77/x
  3. Step 3: Cross multiply
    3,218.77x = 4,833.60 × 1,760.77
  4. Step 4: Simplify right side
    3,218.77x = 8,510,857.87
  5. Step 5: Solve for x
    x = 8,510,857.87/3,218.77
  6. Step 6: Final answer
    x = 2,644.13

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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.