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Finding the Fourth Proportional to 2,086.70, 2,879.55 and 1,155.26

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Solution

The fourth proportional to 2,086.70, 2,879.55 and 1,155.26 is: 1,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.70 : 2,879.55 = 1,155.26 : x
  2. Step 2: Convert to fraction form
    2,086.70/2,879.55 = 1,155.26/x
  3. Step 3: Cross multiply
    2,086.70x = 2,879.55 × 1,155.26
  4. Step 4: Simplify right side
    2,086.70x = 3,326,628.93
  5. Step 5: Solve for x
    x = 3,326,628.93/2,086.70
  6. Step 6: Final answer
    x = 1,594.21

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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.