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Finding the Fourth Proportional to 2,581.84, 3,564.30 and 2,183.32

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Solution

The fourth proportional to 2,581.84, 3,564.30 and 2,183.32 is: 3,014.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.84 : 3,564.30 = 2,183.32 : x
  2. Step 2: Convert to fraction form
    2,581.84/3,564.30 = 2,183.32/x
  3. Step 3: Cross multiply
    2,581.84x = 3,564.30 × 2,183.32
  4. Step 4: Simplify right side
    2,581.84x = 7,782,007.48
  5. Step 5: Solve for x
    x = 7,782,007.48/2,581.84
  6. Step 6: Final answer
    x = 3,014.13

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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.