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Finding the Fourth Proportional to 2,665.40, 3,999.90 and 1,568.60

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Solution

The fourth proportional to 2,665.40, 3,999.90 and 1,568.60 is: 2,353.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.40 : 3,999.90 = 1,568.60 : x
  2. Step 2: Convert to fraction form
    2,665.40/3,999.90 = 1,568.60/x
  3. Step 3: Cross multiply
    2,665.40x = 3,999.90 × 1,568.60
  4. Step 4: Simplify right side
    2,665.40x = 6,274,243.14
  5. Step 5: Solve for x
    x = 6,274,243.14/2,665.40
  6. Step 6: Final answer
    x = 2,353.96

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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.