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Finding the Fourth Proportional to 2,043.75, 3,065.82 and 656.73

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Solution

The fourth proportional to 2,043.75, 3,065.82 and 656.73 is: 985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.75 : 3,065.82 = 656.73 : x
  2. Step 2: Convert to fraction form
    2,043.75/3,065.82 = 656.73/x
  3. Step 3: Cross multiply
    2,043.75x = 3,065.82 × 656.73
  4. Step 4: Simplify right side
    2,043.75x = 2,013,415.97
  5. Step 5: Solve for x
    x = 2,013,415.97/2,043.75
  6. Step 6: Final answer
    x = 985.16

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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.