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Finding the Fourth Proportional to 2,064.03, 3,096.84 and 1,242.87

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Solution

The fourth proportional to 2,064.03, 3,096.84 and 1,242.87 is: 1,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.03 : 3,096.84 = 1,242.87 : x
  2. Step 2: Convert to fraction form
    2,064.03/3,096.84 = 1,242.87/x
  3. Step 3: Cross multiply
    2,064.03x = 3,096.84 × 1,242.87
  4. Step 4: Simplify right side
    2,064.03x = 3,848,969.53
  5. Step 5: Solve for x
    x = 3,848,969.53/2,064.03
  6. Step 6: Final answer
    x = 1,864.78

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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.