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Finding the Fourth Proportional to 2,033.60, 3,049.50 and 735.08

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Solution

The fourth proportional to 2,033.60, 3,049.50 and 735.08 is: 1,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.60 : 3,049.50 = 735.08 : x
  2. Step 2: Convert to fraction form
    2,033.60/3,049.50 = 735.08/x
  3. Step 3: Cross multiply
    2,033.60x = 3,049.50 × 735.08
  4. Step 4: Simplify right side
    2,033.60x = 2,241,626.46
  5. Step 5: Solve for x
    x = 2,241,626.46/2,033.60
  6. Step 6: Final answer
    x = 1,102.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.