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Finding the Fourth Proportional to 2,066.89, 2,857.92 and 2,033.51

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Solution

The fourth proportional to 2,066.89, 2,857.92 and 2,033.51 is: 2,811.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.89 : 2,857.92 = 2,033.51 : x
  2. Step 2: Convert to fraction form
    2,066.89/2,857.92 = 2,033.51/x
  3. Step 3: Cross multiply
    2,066.89x = 2,857.92 × 2,033.51
  4. Step 4: Simplify right side
    2,066.89x = 5,811,594.61
  5. Step 5: Solve for x
    x = 5,811,594.61/2,066.89
  6. Step 6: Final answer
    x = 2,811.76

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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.