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Finding the Fourth Proportional to 2,372.56, 3,559.92 and 1,219.12

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Solution

The fourth proportional to 2,372.56, 3,559.92 and 1,219.12 is: 1,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.56 : 3,559.92 = 1,219.12 : x
  2. Step 2: Convert to fraction form
    2,372.56/3,559.92 = 1,219.12/x
  3. Step 3: Cross multiply
    2,372.56x = 3,559.92 × 1,219.12
  4. Step 4: Simplify right side
    2,372.56x = 4,339,969.67
  5. Step 5: Solve for x
    x = 4,339,969.67/2,372.56
  6. Step 6: Final answer
    x = 1,829.23

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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.