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Finding the Fourth Proportional to 2,078.09, 2,867.71 and 1,133.88

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Solution

The fourth proportional to 2,078.09, 2,867.71 and 1,133.88 is: 1,564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.09 : 2,867.71 = 1,133.88 : x
  2. Step 2: Convert to fraction form
    2,078.09/2,867.71 = 1,133.88/x
  3. Step 3: Cross multiply
    2,078.09x = 2,867.71 × 1,133.88
  4. Step 4: Simplify right side
    2,078.09x = 3,251,651.19
  5. Step 5: Solve for x
    x = 3,251,651.19/2,078.09
  6. Step 6: Final answer
    x = 1,564.73

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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.