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Finding the Fourth Proportional to 2,353.44, 3,524.40 and 2,280

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Solution

The fourth proportional to 2,353.44, 3,524.40 and 2,280 is: 3,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.44 : 3,524.40 = 2,280 : x
  2. Step 2: Convert to fraction form
    2,353.44/3,524.40 = 2,280/x
  3. Step 3: Cross multiply
    2,353.44x = 3,524.40 × 2,280
  4. Step 4: Simplify right side
    2,353.44x = 8,035,632
  5. Step 5: Solve for x
    x = 8,035,632/2,353.44
  6. Step 6: Final answer
    x = 3,414.42

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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.