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Finding the Fourth Proportional to 2,884.94, 3,977.07 and 2,055.50

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Solution

The fourth proportional to 2,884.94, 3,977.07 and 2,055.50 is: 2,833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.94 : 3,977.07 = 2,055.50 : x
  2. Step 2: Convert to fraction form
    2,884.94/3,977.07 = 2,055.50/x
  3. Step 3: Cross multiply
    2,884.94x = 3,977.07 × 2,055.50
  4. Step 4: Simplify right side
    2,884.94x = 8,174,867.39
  5. Step 5: Solve for x
    x = 8,174,867.39/2,884.94
  6. Step 6: Final answer
    x = 2,833.64

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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.