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Finding the Fourth Proportional to 2,034.07, 3,051.31 and 735.64

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Solution

The fourth proportional to 2,034.07, 3,051.31 and 735.64 is: 1,103.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.07 : 3,051.31 = 735.64 : x
  2. Step 2: Convert to fraction form
    2,034.07/3,051.31 = 735.64/x
  3. Step 3: Cross multiply
    2,034.07x = 3,051.31 × 735.64
  4. Step 4: Simplify right side
    2,034.07x = 2,244,665.69
  5. Step 5: Solve for x
    x = 2,244,665.69/2,034.07
  6. Step 6: Final answer
    x = 1,103.53

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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.