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Finding the Fourth Proportional to 2,036.28, 3,052.35 and 804.56

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Solution

The fourth proportional to 2,036.28, 3,052.35 and 804.56 is: 1,206.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.28 : 3,052.35 = 804.56 : x
  2. Step 2: Convert to fraction form
    2,036.28/3,052.35 = 804.56/x
  3. Step 3: Cross multiply
    2,036.28x = 3,052.35 × 804.56
  4. Step 4: Simplify right side
    2,036.28x = 2,455,806.35
  5. Step 5: Solve for x
    x = 2,455,806.35/2,036.28
  6. Step 6: Final answer
    x = 1,206.03

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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.