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Finding the Fourth Proportional to 3,122.83, 4,684.92 and 1,661.77

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Solution

The fourth proportional to 3,122.83, 4,684.92 and 1,661.77 is: 2,493.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.83 : 4,684.92 = 1,661.77 : x
  2. Step 2: Convert to fraction form
    3,122.83/4,684.92 = 1,661.77/x
  3. Step 3: Cross multiply
    3,122.83x = 4,684.92 × 1,661.77
  4. Step 4: Simplify right side
    3,122.83x = 7,785,259.51
  5. Step 5: Solve for x
    x = 7,785,259.51/3,122.83
  6. Step 6: Final answer
    x = 2,493.01

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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.