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Finding the Fourth Proportional to 2,086.71, 2,879.63 and 1,155.21

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Solution

The fourth proportional to 2,086.71, 2,879.63 and 1,155.21 is: 1,594.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.71 : 2,879.63 = 1,155.21 : x
  2. Step 2: Convert to fraction form
    2,086.71/2,879.63 = 1,155.21/x
  3. Step 3: Cross multiply
    2,086.71x = 2,879.63 × 1,155.21
  4. Step 4: Simplify right side
    2,086.71x = 3,326,571.60
  5. Step 5: Solve for x
    x = 3,326,571.60/2,086.71
  6. Step 6: Final answer
    x = 1,594.17

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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.