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Finding the Fourth Proportional to 1,889.39, 2,834.12 and 656.84

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Solution

The fourth proportional to 1,889.39, 2,834.12 and 656.84 is: 985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.39 : 2,834.12 = 656.84 : x
  2. Step 2: Convert to fraction form
    1,889.39/2,834.12 = 656.84/x
  3. Step 3: Cross multiply
    1,889.39x = 2,834.12 × 656.84
  4. Step 4: Simplify right side
    1,889.39x = 1,861,567.18
  5. Step 5: Solve for x
    x = 1,861,567.18/1,889.39
  6. Step 6: Final answer
    x = 985.27

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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.