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Finding the Fourth Proportional to 2,171.96, 2,998.47 and 1,677.16

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Solution

The fourth proportional to 2,171.96, 2,998.47 and 1,677.16 is: 2,315.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.96 : 2,998.47 = 1,677.16 : x
  2. Step 2: Convert to fraction form
    2,171.96/2,998.47 = 1,677.16/x
  3. Step 3: Cross multiply
    2,171.96x = 2,998.47 × 1,677.16
  4. Step 4: Simplify right side
    2,171.96x = 5,028,897.68
  5. Step 5: Solve for x
    x = 5,028,897.68/2,171.96
  6. Step 6: Final answer
    x = 2,315.37

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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.