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Finding the Fourth Proportional to 2,086.70, 2,879.68 and 1,142.48

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Solution

The fourth proportional to 2,086.70, 2,879.68 and 1,142.48 is: 1,576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.70 : 2,879.68 = 1,142.48 : x
  2. Step 2: Convert to fraction form
    2,086.70/2,879.68 = 1,142.48/x
  3. Step 3: Cross multiply
    2,086.70x = 2,879.68 × 1,142.48
  4. Step 4: Simplify right side
    2,086.70x = 3,289,973.13
  5. Step 5: Solve for x
    x = 3,289,973.13/2,086.70
  6. Step 6: Final answer
    x = 1,576.64

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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.