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Finding the Fourth Proportional to 3,220.69, 4,445.21 and 1,823.89

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Solution

The fourth proportional to 3,220.69, 4,445.21 and 1,823.89 is: 2,517.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.69 : 4,445.21 = 1,823.89 : x
  2. Step 2: Convert to fraction form
    3,220.69/4,445.21 = 1,823.89/x
  3. Step 3: Cross multiply
    3,220.69x = 4,445.21 × 1,823.89
  4. Step 4: Simplify right side
    3,220.69x = 8,107,574.07
  5. Step 5: Solve for x
    x = 8,107,574.07/3,220.69
  6. Step 6: Final answer
    x = 2,517.34

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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.