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Finding the Fourth Proportional to 2,034.01, 3,051.08 and 735.44

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Solution

The fourth proportional to 2,034.01, 3,051.08 and 735.44 is: 1,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.01 : 3,051.08 = 735.44 : x
  2. Step 2: Convert to fraction form
    2,034.01/3,051.08 = 735.44/x
  3. Step 3: Cross multiply
    2,034.01x = 3,051.08 × 735.44
  4. Step 4: Simplify right side
    2,034.01x = 2,243,882.60
  5. Step 5: Solve for x
    x = 2,243,882.60/2,034.01
  6. Step 6: Final answer
    x = 1,103.18

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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.