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Finding the Fourth Proportional to 2,189.08, 3,284.02 and 708.69

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Solution

The fourth proportional to 2,189.08, 3,284.02 and 708.69 is: 1,063.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.08 : 3,284.02 = 708.69 : x
  2. Step 2: Convert to fraction form
    2,189.08/3,284.02 = 708.69/x
  3. Step 3: Cross multiply
    2,189.08x = 3,284.02 × 708.69
  4. Step 4: Simplify right side
    2,189.08x = 2,327,352.13
  5. Step 5: Solve for x
    x = 2,327,352.13/2,189.08
  6. Step 6: Final answer
    x = 1,063.17

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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.