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Finding the Fourth Proportional to 2,033.56, 3,051.83 and 735.13

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Solution

The fourth proportional to 2,033.56, 3,051.83 and 735.13 is: 1,103.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.56 : 3,051.83 = 735.13 : x
  2. Step 2: Convert to fraction form
    2,033.56/3,051.83 = 735.13/x
  3. Step 3: Cross multiply
    2,033.56x = 3,051.83 × 735.13
  4. Step 4: Simplify right side
    2,033.56x = 2,243,491.79
  5. Step 5: Solve for x
    x = 2,243,491.79/2,033.56
  6. Step 6: Final answer
    x = 1,103.23

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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.