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Finding the Fourth Proportional to 2,171.08, 2,997.62 and 1,672.93

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Solution

The fourth proportional to 2,171.08, 2,997.62 and 1,672.93 is: 2,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.08 : 2,997.62 = 1,672.93 : x
  2. Step 2: Convert to fraction form
    2,171.08/2,997.62 = 1,672.93/x
  3. Step 3: Cross multiply
    2,171.08x = 2,997.62 × 1,672.93
  4. Step 4: Simplify right side
    2,171.08x = 5,014,808.43
  5. Step 5: Solve for x
    x = 5,014,808.43/2,171.08
  6. Step 6: Final answer
    x = 2,309.82

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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.