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Finding the Fourth Proportional to 2,147.48, 3,221.43 and 1,684.41

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Solution

The fourth proportional to 2,147.48, 3,221.43 and 1,684.41 is: 2,526.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.48 : 3,221.43 = 1,684.41 : x
  2. Step 2: Convert to fraction form
    2,147.48/3,221.43 = 1,684.41/x
  3. Step 3: Cross multiply
    2,147.48x = 3,221.43 × 1,684.41
  4. Step 4: Simplify right side
    2,147.48x = 5,426,208.91
  5. Step 5: Solve for x
    x = 5,426,208.91/2,147.48
  6. Step 6: Final answer
    x = 2,526.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.