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Finding the Fourth Proportional to 2,052.97, 3,080.10 and 735.83

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Solution

The fourth proportional to 2,052.97, 3,080.10 and 735.83 is: 1,103.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.97 : 3,080.10 = 735.83 : x
  2. Step 2: Convert to fraction form
    2,052.97/3,080.10 = 735.83/x
  3. Step 3: Cross multiply
    2,052.97x = 3,080.10 × 735.83
  4. Step 4: Simplify right side
    2,052.97x = 2,266,429.98
  5. Step 5: Solve for x
    x = 2,266,429.98/2,052.97
  6. Step 6: Final answer
    x = 1,103.98

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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.