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Finding the Fourth Proportional to 2,607.73, 3,911.61 and 659.92

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Solution

The fourth proportional to 2,607.73, 3,911.61 and 659.92 is: 989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.73 : 3,911.61 = 659.92 : x
  2. Step 2: Convert to fraction form
    2,607.73/3,911.61 = 659.92/x
  3. Step 3: Cross multiply
    2,607.73x = 3,911.61 × 659.92
  4. Step 4: Simplify right side
    2,607.73x = 2,581,349.67
  5. Step 5: Solve for x
    x = 2,581,349.67/2,607.73
  6. Step 6: Final answer
    x = 989.88

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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.