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Finding the Fourth Proportional to 2,089.30, 3,134.36 and 628.42

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Solution

The fourth proportional to 2,089.30, 3,134.36 and 628.42 is: 942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.30 : 3,134.36 = 628.42 : x
  2. Step 2: Convert to fraction form
    2,089.30/3,134.36 = 628.42/x
  3. Step 3: Cross multiply
    2,089.30x = 3,134.36 × 628.42
  4. Step 4: Simplify right side
    2,089.30x = 1,969,694.51
  5. Step 5: Solve for x
    x = 1,969,694.51/2,089.30
  6. Step 6: Final answer
    x = 942.75

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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.