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Finding the Fourth Proportional to 2,063.89, 3,096.63 and 1,242.75

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Solution

The fourth proportional to 2,063.89, 3,096.63 and 1,242.75 is: 1,864.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.89 : 3,096.63 = 1,242.75 : x
  2. Step 2: Convert to fraction form
    2,063.89/3,096.63 = 1,242.75/x
  3. Step 3: Cross multiply
    2,063.89x = 3,096.63 × 1,242.75
  4. Step 4: Simplify right side
    2,063.89x = 3,848,330.72
  5. Step 5: Solve for x
    x = 3,848,330.72/2,063.89
  6. Step 6: Final answer
    x = 1,864.60

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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.