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Finding the Fourth Proportional to 2,167.84, 3,244.40 and 1,821.60

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Solution

The fourth proportional to 2,167.84, 3,244.40 and 1,821.60 is: 2,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.84 : 3,244.40 = 1,821.60 : x
  2. Step 2: Convert to fraction form
    2,167.84/3,244.40 = 1,821.60/x
  3. Step 3: Cross multiply
    2,167.84x = 3,244.40 × 1,821.60
  4. Step 4: Simplify right side
    2,167.84x = 5,909,999.04
  5. Step 5: Solve for x
    x = 5,909,999.04/2,167.84
  6. Step 6: Final answer
    x = 2,726.22

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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.