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Finding the Fourth Proportional to 2,189.61, 3,284.06 and 650.25

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Solution

The fourth proportional to 2,189.61, 3,284.06 and 650.25 is: 975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.61 : 3,284.06 = 650.25 : x
  2. Step 2: Convert to fraction form
    2,189.61/3,284.06 = 650.25/x
  3. Step 3: Cross multiply
    2,189.61x = 3,284.06 × 650.25
  4. Step 4: Simplify right side
    2,189.61x = 2,135,456.76
  5. Step 5: Solve for x
    x = 2,135,456.76/2,189.61
  6. Step 6: Final answer
    x = 975.27

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1.5x scale

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.