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Finding the Fourth Proportional to 2,043.73, 3,065.90 and 656.61

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Solution

The fourth proportional to 2,043.73, 3,065.90 and 656.61 is: 985.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.73 : 3,065.90 = 656.61 : x
  2. Step 2: Convert to fraction form
    2,043.73/3,065.90 = 656.61/x
  3. Step 3: Cross multiply
    2,043.73x = 3,065.90 × 656.61
  4. Step 4: Simplify right side
    2,043.73x = 2,013,108.91
  5. Step 5: Solve for x
    x = 2,013,108.91/2,043.73
  6. Step 6: Final answer
    x = 985.01

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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.