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Finding the Fourth Proportional to 2,086.93, 2,879.99 and 1,142.74

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Solution

The fourth proportional to 2,086.93, 2,879.99 and 1,142.74 is: 1,577.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.93 : 2,879.99 = 1,142.74 : x
  2. Step 2: Convert to fraction form
    2,086.93/2,879.99 = 1,142.74/x
  3. Step 3: Cross multiply
    2,086.93x = 2,879.99 × 1,142.74
  4. Step 4: Simplify right side
    2,086.93x = 3,291,081.94
  5. Step 5: Solve for x
    x = 3,291,081.94/2,086.93
  6. Step 6: Final answer
    x = 1,577.00

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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.