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Finding the Fourth Proportional to 2,306.39, 3,459.62 and 662.94

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Solution

The fourth proportional to 2,306.39, 3,459.62 and 662.94 is: 994.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.39 : 3,459.62 = 662.94 : x
  2. Step 2: Convert to fraction form
    2,306.39/3,459.62 = 662.94/x
  3. Step 3: Cross multiply
    2,306.39x = 3,459.62 × 662.94
  4. Step 4: Simplify right side
    2,306.39x = 2,293,527.21
  5. Step 5: Solve for x
    x = 2,293,527.21/2,306.39
  6. Step 6: Final answer
    x = 994.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.