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Finding the Fourth Proportional to 3,221.76, 4,445.77 and 1,824.51

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Solution

The fourth proportional to 3,221.76, 4,445.77 and 1,824.51 is: 2,517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.76 : 4,445.77 = 1,824.51 : x
  2. Step 2: Convert to fraction form
    3,221.76/4,445.77 = 1,824.51/x
  3. Step 3: Cross multiply
    3,221.76x = 4,445.77 × 1,824.51
  4. Step 4: Simplify right side
    3,221.76x = 8,111,351.82
  5. Step 5: Solve for x
    x = 8,111,351.82/3,221.76
  6. Step 6: Final answer
    x = 2,517.68

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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.