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Finding the Fourth Proportional to 2,821.81, 3,894.10 and 1,579.81

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Solution

The fourth proportional to 2,821.81, 3,894.10 and 1,579.81 is: 2,180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.81 : 3,894.10 = 1,579.81 : x
  2. Step 2: Convert to fraction form
    2,821.81/3,894.10 = 1,579.81/x
  3. Step 3: Cross multiply
    2,821.81x = 3,894.10 × 1,579.81
  4. Step 4: Simplify right side
    2,821.81x = 6,151,938.12
  5. Step 5: Solve for x
    x = 6,151,938.12/2,821.81
  6. Step 6: Final answer
    x = 2,180.14

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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.