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Finding the Fourth Proportional to 2,089, 3,133.82 and 628.12

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Solution

The fourth proportional to 2,089, 3,133.82 and 628.12 is: 942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089 : 3,133.82 = 628.12 : x
  2. Step 2: Convert to fraction form
    2,089/3,133.82 = 628.12/x
  3. Step 3: Cross multiply
    2,089x = 3,133.82 × 628.12
  4. Step 4: Simplify right side
    2,089x = 1,968,415.02
  5. Step 5: Solve for x
    x = 1,968,415.02/2,089
  6. Step 6: Final answer
    x = 942.28

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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.