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Finding the Fourth Proportional to 2,175.86, 3,004.20 and 1,677.68

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Solution

The fourth proportional to 2,175.86, 3,004.20 and 1,677.68 is: 2,316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.86 : 3,004.20 = 1,677.68 : x
  2. Step 2: Convert to fraction form
    2,175.86/3,004.20 = 1,677.68/x
  3. Step 3: Cross multiply
    2,175.86x = 3,004.20 × 1,677.68
  4. Step 4: Simplify right side
    2,175.86x = 5,040,086.26
  5. Step 5: Solve for x
    x = 5,040,086.26/2,175.86
  6. Step 6: Final answer
    x = 2,316.37

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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.