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Finding the Fourth Proportional to 2,189.36, 3,284.08 and 650.36

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Solution

The fourth proportional to 2,189.36, 3,284.08 and 650.36 is: 975.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.36 : 3,284.08 = 650.36 : x
  2. Step 2: Convert to fraction form
    2,189.36/3,284.08 = 650.36/x
  3. Step 3: Cross multiply
    2,189.36x = 3,284.08 × 650.36
  4. Step 4: Simplify right side
    2,189.36x = 2,135,834.27
  5. Step 5: Solve for x
    x = 2,135,834.27/2,189.36
  6. Step 6: Final answer
    x = 975.55

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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.