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Finding the Fourth Proportional to 2,817.56, 3,883.56 and 2,582.24

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Solution

The fourth proportional to 2,817.56, 3,883.56 and 2,582.24 is: 3,559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.56 : 3,883.56 = 2,582.24 : x
  2. Step 2: Convert to fraction form
    2,817.56/3,883.56 = 2,582.24/x
  3. Step 3: Cross multiply
    2,817.56x = 3,883.56 × 2,582.24
  4. Step 4: Simplify right side
    2,817.56x = 10,028,283.97
  5. Step 5: Solve for x
    x = 10,028,283.97/2,817.56
  6. Step 6: Final answer
    x = 3,559.21

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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.