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Finding the Fourth Proportional to 2,382.48, 3,576.96 and 2,304.72

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Solution

The fourth proportional to 2,382.48, 3,576.96 and 2,304.72 is: 3,460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.48 : 3,576.96 = 2,304.72 : x
  2. Step 2: Convert to fraction form
    2,382.48/3,576.96 = 2,304.72/x
  3. Step 3: Cross multiply
    2,382.48x = 3,576.96 × 2,304.72
  4. Step 4: Simplify right side
    2,382.48x = 8,243,891.25
  5. Step 5: Solve for x
    x = 8,243,891.25/2,382.48
  6. Step 6: Final answer
    x = 3,460.21

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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.