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Finding the Fourth Proportional to 2,078.13, 2,867.84 and 1,133.93

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Solution

The fourth proportional to 2,078.13, 2,867.84 and 1,133.93 is: 1,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.13 : 2,867.84 = 1,133.93 : x
  2. Step 2: Convert to fraction form
    2,078.13/2,867.84 = 1,133.93/x
  3. Step 3: Cross multiply
    2,078.13x = 2,867.84 × 1,133.93
  4. Step 4: Simplify right side
    2,078.13x = 3,251,935.56
  5. Step 5: Solve for x
    x = 3,251,935.56/2,078.13
  6. Step 6: Final answer
    x = 1,564.83

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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.