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Finding the Fourth Proportional to 2,383.56, 3,568.32 and 1,562.22

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Solution

The fourth proportional to 2,383.56, 3,568.32 and 1,562.22 is: 2,338.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.56 : 3,568.32 = 1,562.22 : x
  2. Step 2: Convert to fraction form
    2,383.56/3,568.32 = 1,562.22/x
  3. Step 3: Cross multiply
    2,383.56x = 3,568.32 × 1,562.22
  4. Step 4: Simplify right side
    2,383.56x = 5,574,500.87
  5. Step 5: Solve for x
    x = 5,574,500.87/2,383.56
  6. Step 6: Final answer
    x = 2,338.73

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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.