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Finding the Fourth Proportional to 2,306.73, 3,459.72 and 662.90

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Solution

The fourth proportional to 2,306.73, 3,459.72 and 662.90 is: 994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.73 : 3,459.72 = 662.90 : x
  2. Step 2: Convert to fraction form
    2,306.73/3,459.72 = 662.90/x
  3. Step 3: Cross multiply
    2,306.73x = 3,459.72 × 662.90
  4. Step 4: Simplify right side
    2,306.73x = 2,293,451.17
  5. Step 5: Solve for x
    x = 2,293,451.17/2,306.73
  6. Step 6: Final answer
    x = 994.24

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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.