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Finding the Fourth Proportional to 2,376.72, 3,272.94 and 2,325.60

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Solution

The fourth proportional to 2,376.72, 3,272.94 and 2,325.60 is: 3,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.72 : 3,272.94 = 2,325.60 : x
  2. Step 2: Convert to fraction form
    2,376.72/3,272.94 = 2,325.60/x
  3. Step 3: Cross multiply
    2,376.72x = 3,272.94 × 2,325.60
  4. Step 4: Simplify right side
    2,376.72x = 7,611,549.26
  5. Step 5: Solve for x
    x = 7,611,549.26/2,376.72
  6. Step 6: Final answer
    x = 3,202.54

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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.