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Finding the Fourth Proportional to 2,000.25, 3,000.78 and 846

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Solution

The fourth proportional to 2,000.25, 3,000.78 and 846 is: 1,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.25 : 3,000.78 = 846 : x
  2. Step 2: Convert to fraction form
    2,000.25/3,000.78 = 846/x
  3. Step 3: Cross multiply
    2,000.25x = 3,000.78 × 846
  4. Step 4: Simplify right side
    2,000.25x = 2,538,659.88
  5. Step 5: Solve for x
    x = 2,538,659.88/2,000.25
  6. Step 6: Final answer
    x = 1,269.17

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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.