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Finding the Fourth Proportional to 2,382.88, 3,576.48 and 1,562.08

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Solution

The fourth proportional to 2,382.88, 3,576.48 and 1,562.08 is: 2,344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.88 : 3,576.48 = 1,562.08 : x
  2. Step 2: Convert to fraction form
    2,382.88/3,576.48 = 1,562.08/x
  3. Step 3: Cross multiply
    2,382.88x = 3,576.48 × 1,562.08
  4. Step 4: Simplify right side
    2,382.88x = 5,586,747.88
  5. Step 5: Solve for x
    x = 5,586,747.88/2,382.88
  6. Step 6: Final answer
    x = 2,344.54

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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.