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Finding the Fourth Proportional to 2,035.14, 3,052.90 and 939.81

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Solution

The fourth proportional to 2,035.14, 3,052.90 and 939.81 is: 1,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.14 : 3,052.90 = 939.81 : x
  2. Step 2: Convert to fraction form
    2,035.14/3,052.90 = 939.81/x
  3. Step 3: Cross multiply
    2,035.14x = 3,052.90 × 939.81
  4. Step 4: Simplify right side
    2,035.14x = 2,869,145.95
  5. Step 5: Solve for x
    x = 2,869,145.95/2,035.14
  6. Step 6: Final answer
    x = 1,409.80

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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.