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Finding the Fourth Proportional to 2,171.36, 2,998.67 and 1,871.99

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Solution

The fourth proportional to 2,171.36, 2,998.67 and 1,871.99 is: 2,585.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.36 : 2,998.67 = 1,871.99 : x
  2. Step 2: Convert to fraction form
    2,171.36/2,998.67 = 1,871.99/x
  3. Step 3: Cross multiply
    2,171.36x = 2,998.67 × 1,871.99
  4. Step 4: Simplify right side
    2,171.36x = 5,613,480.25
  5. Step 5: Solve for x
    x = 5,613,480.25/2,171.36
  6. Step 6: Final answer
    x = 2,585.24

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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.