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Finding the Fourth Proportional to 2,824.86, 3,899.10 and 1,646.31

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Solution

The fourth proportional to 2,824.86, 3,899.10 and 1,646.31 is: 2,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.86 : 3,899.10 = 1,646.31 : x
  2. Step 2: Convert to fraction form
    2,824.86/3,899.10 = 1,646.31/x
  3. Step 3: Cross multiply
    2,824.86x = 3,899.10 × 1,646.31
  4. Step 4: Simplify right side
    2,824.86x = 6,419,127.32
  5. Step 5: Solve for x
    x = 6,419,127.32/2,824.86
  6. Step 6: Final answer
    x = 2,272.37

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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.